Displacement Current
PHXII08:ELECTROMAGNETIC WAVES

368905 A parallel plate capacitor has a capacitance \(C = 200\,pF.\) It is connected to \(230\,V\) ac supply with an angular frequency \(300\,rad/s.\) The rms value of conduction current in the circuit and displacement current in the capacitor respectively are

1 \(13.8\,\mu \;A\) and \(138\,\mu \;A\)
2 \(14.3\,\mu \;A\) and \(143\,\mu \;A\)
3 \(13.8\,\mu \;A\) and \(13.8\,\mu \;A\)
4 \(1.38\,\mu \;A\) and \(1.38\,\mu \;A\)
PHXII08:ELECTROMAGNETIC WAVES

368906 An alternating voltage of amplitude \(40\,V\) and frequency \(4\,k\,Hz\) is applied directly across the capacitor of \(12\,\mu F.\) The maximum displacement current between the plates of the capacitor is nearly

1 \(13\,A\)
2 \(8\,A\)
3 \(10\,A\)
4 \(12\,A\)
PHXII08:ELECTROMAGNETIC WAVES

368907 Figure shows a capacitor made of two circular plates each of radius \(12\,cm\), separated by \(5.0\,mm\). The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to \(0.15\,A\), then which of the following is correct?
(Given: \({\varepsilon_{0}=8.85 \times 10^{-12} {C}^{2} N^{-1} {~m}^{-2}}\) )
supporting img

1 The rate of change of potential difference between the plates is \({1.87 \times 10^{9} {Vs}^{-1}}\)
2 The displacement current across the plates is \(0.30\,A\).
3 The capacitance of the capacitor is \(75\,pF\).
4 None of these
PHXII08:ELECTROMAGNETIC WAVES

368908 In order to establish an instantaneous displacement current of \(1 {~mA}\) in the space between the parallel plates of \(4\,\mu F\) capacitor what should be the rate of change of potential difference ?

1 \(350\,V{s^{ - 1}}\)
2 \(250\,V{s^{ - 1}}\)
3 \(100\,V{s^{ - 1}}\)
4 \(190\,V{s^{ - 1}}\)
PHXII08:ELECTROMAGNETIC WAVES

368909 The area of each plate of a parallel plate condenser is \(144\;c{m^2}\). The electrical field in the gap between the plates changes at the rate of \({10^{12}}V{m^{ - 1}}\;{s^{ - 1}}\). The displacement current is

1 \(\dfrac{1}{10 \pi A}\)
2 \(\dfrac{0.4}{\pi} A\)
3 \(\dfrac{4}{\pi} A\)
4 \(\dfrac{40}{\pi} A\)
PHXII08:ELECTROMAGNETIC WAVES

368905 A parallel plate capacitor has a capacitance \(C = 200\,pF.\) It is connected to \(230\,V\) ac supply with an angular frequency \(300\,rad/s.\) The rms value of conduction current in the circuit and displacement current in the capacitor respectively are

1 \(13.8\,\mu \;A\) and \(138\,\mu \;A\)
2 \(14.3\,\mu \;A\) and \(143\,\mu \;A\)
3 \(13.8\,\mu \;A\) and \(13.8\,\mu \;A\)
4 \(1.38\,\mu \;A\) and \(1.38\,\mu \;A\)
PHXII08:ELECTROMAGNETIC WAVES

368906 An alternating voltage of amplitude \(40\,V\) and frequency \(4\,k\,Hz\) is applied directly across the capacitor of \(12\,\mu F.\) The maximum displacement current between the plates of the capacitor is nearly

1 \(13\,A\)
2 \(8\,A\)
3 \(10\,A\)
4 \(12\,A\)
PHXII08:ELECTROMAGNETIC WAVES

368907 Figure shows a capacitor made of two circular plates each of radius \(12\,cm\), separated by \(5.0\,mm\). The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to \(0.15\,A\), then which of the following is correct?
(Given: \({\varepsilon_{0}=8.85 \times 10^{-12} {C}^{2} N^{-1} {~m}^{-2}}\) )
supporting img

1 The rate of change of potential difference between the plates is \({1.87 \times 10^{9} {Vs}^{-1}}\)
2 The displacement current across the plates is \(0.30\,A\).
3 The capacitance of the capacitor is \(75\,pF\).
4 None of these
PHXII08:ELECTROMAGNETIC WAVES

368908 In order to establish an instantaneous displacement current of \(1 {~mA}\) in the space between the parallel plates of \(4\,\mu F\) capacitor what should be the rate of change of potential difference ?

1 \(350\,V{s^{ - 1}}\)
2 \(250\,V{s^{ - 1}}\)
3 \(100\,V{s^{ - 1}}\)
4 \(190\,V{s^{ - 1}}\)
PHXII08:ELECTROMAGNETIC WAVES

368909 The area of each plate of a parallel plate condenser is \(144\;c{m^2}\). The electrical field in the gap between the plates changes at the rate of \({10^{12}}V{m^{ - 1}}\;{s^{ - 1}}\). The displacement current is

1 \(\dfrac{1}{10 \pi A}\)
2 \(\dfrac{0.4}{\pi} A\)
3 \(\dfrac{4}{\pi} A\)
4 \(\dfrac{40}{\pi} A\)
PHXII08:ELECTROMAGNETIC WAVES

368905 A parallel plate capacitor has a capacitance \(C = 200\,pF.\) It is connected to \(230\,V\) ac supply with an angular frequency \(300\,rad/s.\) The rms value of conduction current in the circuit and displacement current in the capacitor respectively are

1 \(13.8\,\mu \;A\) and \(138\,\mu \;A\)
2 \(14.3\,\mu \;A\) and \(143\,\mu \;A\)
3 \(13.8\,\mu \;A\) and \(13.8\,\mu \;A\)
4 \(1.38\,\mu \;A\) and \(1.38\,\mu \;A\)
PHXII08:ELECTROMAGNETIC WAVES

368906 An alternating voltage of amplitude \(40\,V\) and frequency \(4\,k\,Hz\) is applied directly across the capacitor of \(12\,\mu F.\) The maximum displacement current between the plates of the capacitor is nearly

1 \(13\,A\)
2 \(8\,A\)
3 \(10\,A\)
4 \(12\,A\)
PHXII08:ELECTROMAGNETIC WAVES

368907 Figure shows a capacitor made of two circular plates each of radius \(12\,cm\), separated by \(5.0\,mm\). The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to \(0.15\,A\), then which of the following is correct?
(Given: \({\varepsilon_{0}=8.85 \times 10^{-12} {C}^{2} N^{-1} {~m}^{-2}}\) )
supporting img

1 The rate of change of potential difference between the plates is \({1.87 \times 10^{9} {Vs}^{-1}}\)
2 The displacement current across the plates is \(0.30\,A\).
3 The capacitance of the capacitor is \(75\,pF\).
4 None of these
PHXII08:ELECTROMAGNETIC WAVES

368908 In order to establish an instantaneous displacement current of \(1 {~mA}\) in the space between the parallel plates of \(4\,\mu F\) capacitor what should be the rate of change of potential difference ?

1 \(350\,V{s^{ - 1}}\)
2 \(250\,V{s^{ - 1}}\)
3 \(100\,V{s^{ - 1}}\)
4 \(190\,V{s^{ - 1}}\)
PHXII08:ELECTROMAGNETIC WAVES

368909 The area of each plate of a parallel plate condenser is \(144\;c{m^2}\). The electrical field in the gap between the plates changes at the rate of \({10^{12}}V{m^{ - 1}}\;{s^{ - 1}}\). The displacement current is

1 \(\dfrac{1}{10 \pi A}\)
2 \(\dfrac{0.4}{\pi} A\)
3 \(\dfrac{4}{\pi} A\)
4 \(\dfrac{40}{\pi} A\)
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PHXII08:ELECTROMAGNETIC WAVES

368905 A parallel plate capacitor has a capacitance \(C = 200\,pF.\) It is connected to \(230\,V\) ac supply with an angular frequency \(300\,rad/s.\) The rms value of conduction current in the circuit and displacement current in the capacitor respectively are

1 \(13.8\,\mu \;A\) and \(138\,\mu \;A\)
2 \(14.3\,\mu \;A\) and \(143\,\mu \;A\)
3 \(13.8\,\mu \;A\) and \(13.8\,\mu \;A\)
4 \(1.38\,\mu \;A\) and \(1.38\,\mu \;A\)
PHXII08:ELECTROMAGNETIC WAVES

368906 An alternating voltage of amplitude \(40\,V\) and frequency \(4\,k\,Hz\) is applied directly across the capacitor of \(12\,\mu F.\) The maximum displacement current between the plates of the capacitor is nearly

1 \(13\,A\)
2 \(8\,A\)
3 \(10\,A\)
4 \(12\,A\)
PHXII08:ELECTROMAGNETIC WAVES

368907 Figure shows a capacitor made of two circular plates each of radius \(12\,cm\), separated by \(5.0\,mm\). The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to \(0.15\,A\), then which of the following is correct?
(Given: \({\varepsilon_{0}=8.85 \times 10^{-12} {C}^{2} N^{-1} {~m}^{-2}}\) )
supporting img

1 The rate of change of potential difference between the plates is \({1.87 \times 10^{9} {Vs}^{-1}}\)
2 The displacement current across the plates is \(0.30\,A\).
3 The capacitance of the capacitor is \(75\,pF\).
4 None of these
PHXII08:ELECTROMAGNETIC WAVES

368908 In order to establish an instantaneous displacement current of \(1 {~mA}\) in the space between the parallel plates of \(4\,\mu F\) capacitor what should be the rate of change of potential difference ?

1 \(350\,V{s^{ - 1}}\)
2 \(250\,V{s^{ - 1}}\)
3 \(100\,V{s^{ - 1}}\)
4 \(190\,V{s^{ - 1}}\)
PHXII08:ELECTROMAGNETIC WAVES

368909 The area of each plate of a parallel plate condenser is \(144\;c{m^2}\). The electrical field in the gap between the plates changes at the rate of \({10^{12}}V{m^{ - 1}}\;{s^{ - 1}}\). The displacement current is

1 \(\dfrac{1}{10 \pi A}\)
2 \(\dfrac{0.4}{\pi} A\)
3 \(\dfrac{4}{\pi} A\)
4 \(\dfrac{40}{\pi} A\)
PHXII08:ELECTROMAGNETIC WAVES

368905 A parallel plate capacitor has a capacitance \(C = 200\,pF.\) It is connected to \(230\,V\) ac supply with an angular frequency \(300\,rad/s.\) The rms value of conduction current in the circuit and displacement current in the capacitor respectively are

1 \(13.8\,\mu \;A\) and \(138\,\mu \;A\)
2 \(14.3\,\mu \;A\) and \(143\,\mu \;A\)
3 \(13.8\,\mu \;A\) and \(13.8\,\mu \;A\)
4 \(1.38\,\mu \;A\) and \(1.38\,\mu \;A\)
PHXII08:ELECTROMAGNETIC WAVES

368906 An alternating voltage of amplitude \(40\,V\) and frequency \(4\,k\,Hz\) is applied directly across the capacitor of \(12\,\mu F.\) The maximum displacement current between the plates of the capacitor is nearly

1 \(13\,A\)
2 \(8\,A\)
3 \(10\,A\)
4 \(12\,A\)
PHXII08:ELECTROMAGNETIC WAVES

368907 Figure shows a capacitor made of two circular plates each of radius \(12\,cm\), separated by \(5.0\,mm\). The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to \(0.15\,A\), then which of the following is correct?
(Given: \({\varepsilon_{0}=8.85 \times 10^{-12} {C}^{2} N^{-1} {~m}^{-2}}\) )
supporting img

1 The rate of change of potential difference between the plates is \({1.87 \times 10^{9} {Vs}^{-1}}\)
2 The displacement current across the plates is \(0.30\,A\).
3 The capacitance of the capacitor is \(75\,pF\).
4 None of these
PHXII08:ELECTROMAGNETIC WAVES

368908 In order to establish an instantaneous displacement current of \(1 {~mA}\) in the space between the parallel plates of \(4\,\mu F\) capacitor what should be the rate of change of potential difference ?

1 \(350\,V{s^{ - 1}}\)
2 \(250\,V{s^{ - 1}}\)
3 \(100\,V{s^{ - 1}}\)
4 \(190\,V{s^{ - 1}}\)
PHXII08:ELECTROMAGNETIC WAVES

368909 The area of each plate of a parallel plate condenser is \(144\;c{m^2}\). The electrical field in the gap between the plates changes at the rate of \({10^{12}}V{m^{ - 1}}\;{s^{ - 1}}\). The displacement current is

1 \(\dfrac{1}{10 \pi A}\)
2 \(\dfrac{0.4}{\pi} A\)
3 \(\dfrac{4}{\pi} A\)
4 \(\dfrac{40}{\pi} A\)