Alternating Currents · CAPE Physics Unit 2
75 past-paper questions on Alternating Currents, part of AC Theory and Electronics, from every CAPE Physics Unit 2 paper on Quelpr.
- 4(a)(i)1 mark· CAPE Physics Unit 2 · 2001 · Paper 1Find the amplitude of the current.
- 4(a)(ii)1 mark· CAPE Physics Unit 2 · 2001 · Paper 1Find the period of the alternating current.
- 4(a)(iii)1 mark· CAPE Physics Unit 2 · 2001 · Paper 1Find the frequency of the alternating current.
- 4(b)2 marks· CAPE Physics Unit 2 · 2001 · Paper 1For the waveform represented in Figure 4, write an equation which represents how the alternating current, I, varies with time, t.
- 5(b)(i)1 mark· CAPE Physics Unit 2 · 2001 · Paper 1Calculate the current in the transmission cable.
- 5(b)(ii)2 marks· CAPE Physics Unit 2 · 2001 · Paper 1Calculate the power lost in the transmission cable.
- 5(iii)2 marks· CAPE Physics Unit 2 · 2001 · Paper 1Calculate the percentage power lost in the transmission cable if the voltage was not stepped up.
- 6(b)(i)1 mark· CAPE Physics Unit 2 · 2002 · Paper 2Write an equation relating the r.m.s. value and the peak value of an alternating current.
- 6(b)(ii)3 marks· CAPE Physics Unit 2 · 2002 · Paper 2A car battery-charger operates from a 120 V r.m.s. a.c. line and supplies 10 A d.c. at 14 V. If it is 80% efficient, calculate the current drawn from the a.c. line.
- 6(c)(iii)2 marks· CAPE Physics Unit 2 · 2002 · Paper 2Calculate the current in the transmission supply cable.
- 7(a)(i)1 mark· CAPE Physics Unit 2 · 2003 · Paper 2State the relationship between peak voltage, V_p, and root mean square voltage, V_rms, for an alternating sinusoidal voltage.
- 7(a)(ii)2 marks· CAPE Physics Unit 2 · 2003 · Paper 2Calculate the value of the direct current that will produce the same quantity of thermal energy in a particular resistor, as an alternating current that has a maximum value of 2.60 A.
- 7(c)(ii)5 marks· CAPE Physics Unit 2 · 2003 · Paper 2The average rate of energy consumption in the houses served by the transformer is 78 kW. Calculate the peak value of the current in BOTH windings of the transformer.
- 4(b)(ii)1 mark· CAPE Physics Unit 2 · 2005 · Paper 1A signal with voltage V_i given by V_i = 0.2 sin(100 pi t) is applied to the comparator in (b)(i). Calculate the frequency of the signal.
- 6(b)(i)2 marks· CAPE Physics Unit 2 · 2005 · Paper 2Calculate the peak value of the primary voltage.
- 6(c)4 marks· CAPE Physics Unit 2 · 2005 · Paper 2Calculate what percentage of the power transmitted is lost in the cables.
- 6(a)(i)1 mark· CAPE Physics Unit 2 · 2006 · Paper 1Determine the frequency of the signal.
- 6(a)(ii)1 mark· CAPE Physics Unit 2 · 2006 · Paper 1Determine the period of the signal.
- 6(a)(iii)2 marks· CAPE Physics Unit 2 · 2006 · Paper 1Find the r.m.s. voltage of the signal.
- 6(a)(iv)3 marks· CAPE Physics Unit 2 · 2006 · Paper 1Draw the graph showing the variation of voltage with time on the axes in Figure 6.
- 7(d)(ii)3 marks· CAPE Physics Unit 2 · 2006 · Paper 2The input terminals X and Y are connected to the secondary coil of an ideal transformer. The primary coil contains 22000 turns and is connected to a
220\text{ V}_{\text{r.m.s.}}alternating supply. The input to the… - Q181 mark · multiple choice· CAPE Physics Unit 2 · 2007 · Paper 1A direct current (
I) dissipates power in a resistor (R). A sinusoidal alternating current dissipates the same power in another resistor of one quarter the value. What is the r.m.s. value of the alternating current? - Q161 mark · multiple choice· CAPE Physics Unit 2 · 2007 (Specimen) · Paper 1A sinusoidal alternating current of a peak value
20\text{ A}dissipates power of50\text{ W}in a resistorR. The value of the resistor is - Q181 mark · multiple choice· CAPE Physics Unit 2 · 2007 (Specimen) · Paper 1A direct current of
5\text{ A}dissipates heat in a given resistor at the same rate as a sinusoidal alternating current flowing through the same resistor. What is the root mean square value of the alternating current. - Q191 mark · multiple choice· CAPE Physics Unit 2 · 2007 (Specimen) · Paper 1The ratio of the secondary turns to the primary turns in an ideal transformer is
1 : 30. A120\text{ V}a.c. supply is connected to the primary coil and a load of20\ \Omegaconnected to the secondary coil. What… - Q181 mark · multiple choice· CAPE Physics Unit 2 · 2008 (Rest of Region) · Paper 1If the equation of an a.c voltage is
V = 200 \sin 50\pi t, then the r.m.s. value of the voltage is - 4(c)(ii)b)2 marks· CAPE Physics Unit 2 · 2008 (Rest of Region) · Paper 2Find the r.m.s. value of the e.m.f. induced in the coil.
- Q171 mark · multiple choice· CAPE Physics Unit 2 · 2008 (T&T) · Paper 1Item 17 refers to the following diagram. The r.m.s value of a.c voltage is related to the peak to peak voltage by the equation
- Q181 mark · multiple choice· CAPE Physics Unit 2 · 2008 (T&T) · Paper 1A sinusoidal alternating current of peak value
50\text{ A}dissipates power (P) in a2\ \Omegaresistor. What is the value ofP? - Q201 mark · multiple choice· CAPE Physics Unit 2 · 2008 (T&T) · Paper 1Item 20 refers to the following graph which represents a sinusoidal alternating current against time as drawn below. The equation to represent this alternating current is
- Q161 mark · multiple choice· CAPE Physics Unit 2 · 2009 · Paper 1The effective value of a sinusoidal alternating curve with a peak current,
I_0, is - Q171 mark · multiple choice· CAPE Physics Unit 2 · 2009 · Paper 1Item 17 refers to the following graph which represents a sinusoidal alternating current against time. The equation to represent this alternating current is
- Q181 mark · multiple choice· CAPE Physics Unit 2 · 2009 · Paper 1Why is it advantageous to use an alternating current instead of a steady d.c. when transmitting electrical energy at high voltages?
- 5(c)(i)1 mark· CAPE Physics Unit 2 · 2009 · Paper 2Determine the frequency of this input signal.
- Q161 mark · multiple choice· CAPE Physics Unit 2 · 2010 · Paper 1A.C. may be represented by the following equation.
I = I_0 \sin \omega t.I_0is - Q171 mark · multiple choice· CAPE Physics Unit 2 · 2010 · Paper 1The equation to represent the alternating current is
- Q201 mark · multiple choice· CAPE Physics Unit 2 · 2010 · Paper 1A sinusoidal signal has a peak voltage of
5.0\text{ V}. What is the r.m.s value of this signal? - Q391 mark · multiple choice· CAPE Physics Unit 2 · 2010 · Paper 1Which of the following statements is true?
- Q141 mark · multiple choice· CAPE Physics Unit 2 · 2011 · Paper 1An ideal transformer has 600 turns in the primary winding and 40 turns in the secondary winding. If the current in the primary winding is
5\text{ A}, and the primary voltage is120\text{ V}, what is the current and… - Q161 mark · multiple choice· CAPE Physics Unit 2 · 2011 · Paper 1What is the
V_{\text{r.m.s}}of a wave form with a peak to peak voltage of40\text{ V}? - Q171 mark · multiple choice· CAPE Physics Unit 2 · 2011 · Paper 1The equation which represents this alternating current is
- Q161 mark · multiple choice· CAPE Physics Unit 2 · 2012 · Paper 1A.C. may be represented by the following equation,
I = I_0 \sin \omega t.I_0is - Q391 mark · multiple choice· CAPE Physics Unit 2 · 2012 · Paper 1Which of the following statements is true?
- Q161 mark · multiple choice· CAPE Physics Unit 2 · 2013 · Paper 1A.C. may be represented by the equation,
I = I_0 \sin \omega t.I_0is - Q171 mark · multiple choice· CAPE Physics Unit 2 · 2013 · Paper 1The equation which represents this alternating current is
- Q181 mark · multiple choice· CAPE Physics Unit 2 · 2013 · Paper 1A sinusoidal signal has a peak voltage of
5.0\text{ V}. What is the r.m.s value of this signal? - Q351 mark · multiple choice· CAPE Physics Unit 2 · 2013 · Paper 1What is the de Broglie wavelength of an olympic sprinter of mass
60\text{ kg}when running at a speed of10\text{ m s}^{-1}? - Q371 mark · multiple choice· CAPE Physics Unit 2 · 2013 · Paper 1Each of the following particles is moving at
0.2c, wherecis the speed of electromagnetic radiation. Which particle has the longest de Broglie wavelength associated with it? - Q401 mark · multiple choice· CAPE Physics Unit 2 · 2013 · Paper 1Which of the following statements is true?
- Q161 mark · multiple choice· CAPE Physics Unit 2 · 2014 · Paper 1AC current may be represented by the equation,
I = I_0 \sin \omega t. What term describes the quantityI_0? - Q181 mark · multiple choice· CAPE Physics Unit 2 · 2014 · Paper 1The effective value of a sinusoidal alternating curve with a peak current,
I_0, is - Q161 mark · multiple choice· CAPE Physics Unit 2 · 2015 · Paper 1In the equation
I = I_0 \sin \omega tfor an alternating current, the symbolI_0represents the - Q181 mark · multiple choice· CAPE Physics Unit 2 · 2015 · Paper 1A sinusoidal signal has a peak voltage of
5.0\text{ V}. What is the root mean square value of this signal? - Q161 mark · multiple choice· CAPE Physics Unit 2 · 2016 · Paper 1Which of the following equations represents an alternating voltage?
- Q171 mark · multiple choice· CAPE Physics Unit 2 · 2016 · Paper 1The peak potential difference of a certain a.c. supply is
24\text{ V}. What is the root mean square (r.m.s.) value? - 5(b)(i)1 mark· CAPE Physics Unit 2 · 2016 · Paper 2Determine the peak voltage.
- 5(b)(ii)2 marks· CAPE Physics Unit 2 · 2016 · Paper 2Determine the frequency.
- 5(b)(iii)2 marks· CAPE Physics Unit 2 · 2016 · Paper 2Determine the root mean square (rms) voltage.
- Q161 mark · multiple choice· CAPE Physics Unit 2 · 2017 · Paper 1What is the r.m.s value of a sinusoidal signal of peak value
3.0\text{ V}? - Q381 mark · multiple choice· CAPE Physics Unit 2 · 2017 · Paper 1Which of the following scientists suggested that matter had a dual nature and proposed that any particle of a specific momentum had an associated wavelength?
- Q31 mark · multiple choice· CAPE Physics Unit 2 · 2018 · Paper 1An alternating current is represented by the equation
I = I_0 \sin 120\pi twherethas units of seconds. How many complete cycles does it go through in10\text{ minutes}? - Q161 mark · multiple choice· CAPE Physics Unit 2 · 2018 · Paper 1Which of the following equations represents an alternating voltage?
- Q181 mark · multiple choice· CAPE Physics Unit 2 · 2019 · Paper 1A sinusoidal signal has a peak voltage of
5.0\text{ V}. What is the root mean square value of this signal? - Q311 mark · multiple choice· CAPE Physics Unit 2 · 2019 · Paper 1Each of the following particles is moving at
0.2\ c, wherecis the speed of electromagnetic radiation. Which particle has the LONGEST de Broglie wavelength associated with it? - Q361 mark · multiple choice· CAPE Physics Unit 2 · 2019 · Paper 1What is the de Broglie wavelength of an Olympic sprinter of mass
60\text{ kg}when running at a speed of10\text{ m s}^{-1}? - 2(a)8 marks· Physics · Unit 2 Q2 2(a)State the meaning of EACH symbol in the table below and use Figure 2 to determine each value.
- 2(a)4 marks· Physics · Unit 2 Q2 2(a)Derive an expression for the current waveform, in the form I = I_p sin(ωt), when the device is operating at its rated current.
- 2(a)(i)1 mark· Physics · Unit 2 Q2 2(a)(i)Use Figure 2 to determine the Peak value (amplitude) of the waveform.
- 2(a)(ii)3 marks· Physics · Unit 2 Q2 2(a)(ii)Use Figure 2 to determine the Frequency of the waveform.
- 2(a)(iii)2 marks· Physics · Unit 2 Q2 2(a)(iii)Use Figure 2 to determine the RMS value of the waveform.
- 2(b)5 marks· Physics · Unit 2 Q2 2(b)Calculate the power dissipated in the circuit in Figure 3.
- 2(b)7 marks· Physics · Unit 2 Q2 2(b)Sketch a graph of ONE cycle of the current waveform in (a), with axes labelled to show the values of the period and amplitude.
- 2(b)3 marks· Physics · Unit 2 Q2 2(b)Use your results from (a) to derive an expression for the waveform in Figure 2 in the form v = v_max sin ωt.
- 2(g)4 marks· Physics · Unit 2 Q2 2(g)Describe the procedure for an experiment that can be used to verify the relationship between the peak value of an alternating current and the equivalent direct current.
- 2(h)6 marks· Physics · Unit 2 Q2 2(h)State THREE advantages and THREE disadvantages of using an alternating current and high voltages for the transmission and distribution of electrical energy.