D.C. Circuits
PHXII06:ELECTROMAGNETIC INDUCTION

358366 In the circuit shown in figure switch \(S\) is closed at time \(t=0\). The charge which passes through the battery in one time constant is
supporting img

1 \(\dfrac{E L}{e R^{2}}\)
2 \(E\left(\dfrac{L}{R}\right)\)
3 \(\dfrac{e L}{E R}\)
4 \(\dfrac{e R^{2} E}{L}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358367 Figure shows a circuit that contains three identical resistors with resistance \(R = 9.0\Omega \) each, two identical inductors with inductance \(L = 2.0\,mH\) each, and an ideal battery with emf \(\varepsilon = 18\;V\). The current ' \(i\) ' through the battery just after the switch closed is,
supporting img

1 \(0.2\;\,A\)
2 \(2\;\,A\)
3 \(0\;\,A\)
4 \(2\,\;mA\)
PHXII06:ELECTROMAGNETIC INDUCTION

358368 In the circuit shown in figure, find the magnitude of the potential of point \({C}\) at the instant shown. The rate of increase of current in resistance is \({2.5 {~A} / {s}}\).
supporting img

1 \(13\,V\)
2 \(17\,V\)
3 \(15\,V\)
4 \(19\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358369 In the circuit shown below, the key \(K\) is closed at \(t=0\). The current through the battery is
supporting img

1 \(\dfrac{V R_{1} R_{2}}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=0\) and \(\dfrac{V}{R_{2}}\) at \(t=\infty\)
2 \(\dfrac{V}{R_{2}}\) at \(t=0\) and \(\dfrac{V\left(R_{1}+R_{2}\right)}{R_{1} R_{2}}\) at \(t=\infty\)
3 \(\dfrac{V}{R_{2}}\) at \(t=0\) and \(\dfrac{V\left(R_{1}+R_{2}\right)}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=\infty\)
4 \(\dfrac{V\left(R_{1}+R_{2}\right)}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=0\) and \(\dfrac{V}{R_{2}}\) at \(t=\infty\)
PHXII06:ELECTROMAGNETIC INDUCTION

358370 An ideal coil of \(10\,H\) is connected in series with a resistance of \(5 \Omega\) and a battery of \(5\;V\). Two seconds after the connection is made, the current flowing (in \(A\)) in the circuit is

1 \(e\)
2 \({e^{ - 1}}\)
3 \(1 - {e^{ - 1}}\)
4 \(1 - e\)
PHXII06:ELECTROMAGNETIC INDUCTION

358366 In the circuit shown in figure switch \(S\) is closed at time \(t=0\). The charge which passes through the battery in one time constant is
supporting img

1 \(\dfrac{E L}{e R^{2}}\)
2 \(E\left(\dfrac{L}{R}\right)\)
3 \(\dfrac{e L}{E R}\)
4 \(\dfrac{e R^{2} E}{L}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358367 Figure shows a circuit that contains three identical resistors with resistance \(R = 9.0\Omega \) each, two identical inductors with inductance \(L = 2.0\,mH\) each, and an ideal battery with emf \(\varepsilon = 18\;V\). The current ' \(i\) ' through the battery just after the switch closed is,
supporting img

1 \(0.2\;\,A\)
2 \(2\;\,A\)
3 \(0\;\,A\)
4 \(2\,\;mA\)
PHXII06:ELECTROMAGNETIC INDUCTION

358368 In the circuit shown in figure, find the magnitude of the potential of point \({C}\) at the instant shown. The rate of increase of current in resistance is \({2.5 {~A} / {s}}\).
supporting img

1 \(13\,V\)
2 \(17\,V\)
3 \(15\,V\)
4 \(19\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358369 In the circuit shown below, the key \(K\) is closed at \(t=0\). The current through the battery is
supporting img

1 \(\dfrac{V R_{1} R_{2}}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=0\) and \(\dfrac{V}{R_{2}}\) at \(t=\infty\)
2 \(\dfrac{V}{R_{2}}\) at \(t=0\) and \(\dfrac{V\left(R_{1}+R_{2}\right)}{R_{1} R_{2}}\) at \(t=\infty\)
3 \(\dfrac{V}{R_{2}}\) at \(t=0\) and \(\dfrac{V\left(R_{1}+R_{2}\right)}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=\infty\)
4 \(\dfrac{V\left(R_{1}+R_{2}\right)}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=0\) and \(\dfrac{V}{R_{2}}\) at \(t=\infty\)
PHXII06:ELECTROMAGNETIC INDUCTION

358370 An ideal coil of \(10\,H\) is connected in series with a resistance of \(5 \Omega\) and a battery of \(5\;V\). Two seconds after the connection is made, the current flowing (in \(A\)) in the circuit is

1 \(e\)
2 \({e^{ - 1}}\)
3 \(1 - {e^{ - 1}}\)
4 \(1 - e\)
PHXII06:ELECTROMAGNETIC INDUCTION

358366 In the circuit shown in figure switch \(S\) is closed at time \(t=0\). The charge which passes through the battery in one time constant is
supporting img

1 \(\dfrac{E L}{e R^{2}}\)
2 \(E\left(\dfrac{L}{R}\right)\)
3 \(\dfrac{e L}{E R}\)
4 \(\dfrac{e R^{2} E}{L}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358367 Figure shows a circuit that contains three identical resistors with resistance \(R = 9.0\Omega \) each, two identical inductors with inductance \(L = 2.0\,mH\) each, and an ideal battery with emf \(\varepsilon = 18\;V\). The current ' \(i\) ' through the battery just after the switch closed is,
supporting img

1 \(0.2\;\,A\)
2 \(2\;\,A\)
3 \(0\;\,A\)
4 \(2\,\;mA\)
PHXII06:ELECTROMAGNETIC INDUCTION

358368 In the circuit shown in figure, find the magnitude of the potential of point \({C}\) at the instant shown. The rate of increase of current in resistance is \({2.5 {~A} / {s}}\).
supporting img

1 \(13\,V\)
2 \(17\,V\)
3 \(15\,V\)
4 \(19\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358369 In the circuit shown below, the key \(K\) is closed at \(t=0\). The current through the battery is
supporting img

1 \(\dfrac{V R_{1} R_{2}}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=0\) and \(\dfrac{V}{R_{2}}\) at \(t=\infty\)
2 \(\dfrac{V}{R_{2}}\) at \(t=0\) and \(\dfrac{V\left(R_{1}+R_{2}\right)}{R_{1} R_{2}}\) at \(t=\infty\)
3 \(\dfrac{V}{R_{2}}\) at \(t=0\) and \(\dfrac{V\left(R_{1}+R_{2}\right)}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=\infty\)
4 \(\dfrac{V\left(R_{1}+R_{2}\right)}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=0\) and \(\dfrac{V}{R_{2}}\) at \(t=\infty\)
PHXII06:ELECTROMAGNETIC INDUCTION

358370 An ideal coil of \(10\,H\) is connected in series with a resistance of \(5 \Omega\) and a battery of \(5\;V\). Two seconds after the connection is made, the current flowing (in \(A\)) in the circuit is

1 \(e\)
2 \({e^{ - 1}}\)
3 \(1 - {e^{ - 1}}\)
4 \(1 - e\)
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PHXII06:ELECTROMAGNETIC INDUCTION

358366 In the circuit shown in figure switch \(S\) is closed at time \(t=0\). The charge which passes through the battery in one time constant is
supporting img

1 \(\dfrac{E L}{e R^{2}}\)
2 \(E\left(\dfrac{L}{R}\right)\)
3 \(\dfrac{e L}{E R}\)
4 \(\dfrac{e R^{2} E}{L}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358367 Figure shows a circuit that contains three identical resistors with resistance \(R = 9.0\Omega \) each, two identical inductors with inductance \(L = 2.0\,mH\) each, and an ideal battery with emf \(\varepsilon = 18\;V\). The current ' \(i\) ' through the battery just after the switch closed is,
supporting img

1 \(0.2\;\,A\)
2 \(2\;\,A\)
3 \(0\;\,A\)
4 \(2\,\;mA\)
PHXII06:ELECTROMAGNETIC INDUCTION

358368 In the circuit shown in figure, find the magnitude of the potential of point \({C}\) at the instant shown. The rate of increase of current in resistance is \({2.5 {~A} / {s}}\).
supporting img

1 \(13\,V\)
2 \(17\,V\)
3 \(15\,V\)
4 \(19\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358369 In the circuit shown below, the key \(K\) is closed at \(t=0\). The current through the battery is
supporting img

1 \(\dfrac{V R_{1} R_{2}}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=0\) and \(\dfrac{V}{R_{2}}\) at \(t=\infty\)
2 \(\dfrac{V}{R_{2}}\) at \(t=0\) and \(\dfrac{V\left(R_{1}+R_{2}\right)}{R_{1} R_{2}}\) at \(t=\infty\)
3 \(\dfrac{V}{R_{2}}\) at \(t=0\) and \(\dfrac{V\left(R_{1}+R_{2}\right)}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=\infty\)
4 \(\dfrac{V\left(R_{1}+R_{2}\right)}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=0\) and \(\dfrac{V}{R_{2}}\) at \(t=\infty\)
PHXII06:ELECTROMAGNETIC INDUCTION

358370 An ideal coil of \(10\,H\) is connected in series with a resistance of \(5 \Omega\) and a battery of \(5\;V\). Two seconds after the connection is made, the current flowing (in \(A\)) in the circuit is

1 \(e\)
2 \({e^{ - 1}}\)
3 \(1 - {e^{ - 1}}\)
4 \(1 - e\)
PHXII06:ELECTROMAGNETIC INDUCTION

358366 In the circuit shown in figure switch \(S\) is closed at time \(t=0\). The charge which passes through the battery in one time constant is
supporting img

1 \(\dfrac{E L}{e R^{2}}\)
2 \(E\left(\dfrac{L}{R}\right)\)
3 \(\dfrac{e L}{E R}\)
4 \(\dfrac{e R^{2} E}{L}\)
PHXII06:ELECTROMAGNETIC INDUCTION

358367 Figure shows a circuit that contains three identical resistors with resistance \(R = 9.0\Omega \) each, two identical inductors with inductance \(L = 2.0\,mH\) each, and an ideal battery with emf \(\varepsilon = 18\;V\). The current ' \(i\) ' through the battery just after the switch closed is,
supporting img

1 \(0.2\;\,A\)
2 \(2\;\,A\)
3 \(0\;\,A\)
4 \(2\,\;mA\)
PHXII06:ELECTROMAGNETIC INDUCTION

358368 In the circuit shown in figure, find the magnitude of the potential of point \({C}\) at the instant shown. The rate of increase of current in resistance is \({2.5 {~A} / {s}}\).
supporting img

1 \(13\,V\)
2 \(17\,V\)
3 \(15\,V\)
4 \(19\,V\)
PHXII06:ELECTROMAGNETIC INDUCTION

358369 In the circuit shown below, the key \(K\) is closed at \(t=0\). The current through the battery is
supporting img

1 \(\dfrac{V R_{1} R_{2}}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=0\) and \(\dfrac{V}{R_{2}}\) at \(t=\infty\)
2 \(\dfrac{V}{R_{2}}\) at \(t=0\) and \(\dfrac{V\left(R_{1}+R_{2}\right)}{R_{1} R_{2}}\) at \(t=\infty\)
3 \(\dfrac{V}{R_{2}}\) at \(t=0\) and \(\dfrac{V\left(R_{1}+R_{2}\right)}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=\infty\)
4 \(\dfrac{V\left(R_{1}+R_{2}\right)}{\sqrt{R_{1}^{2}+R_{2}^{2}}}\) at \(t=0\) and \(\dfrac{V}{R_{2}}\) at \(t=\infty\)
PHXII06:ELECTROMAGNETIC INDUCTION

358370 An ideal coil of \(10\,H\) is connected in series with a resistance of \(5 \Omega\) and a battery of \(5\;V\). Two seconds after the connection is made, the current flowing (in \(A\)) in the circuit is

1 \(e\)
2 \({e^{ - 1}}\)
3 \(1 - {e^{ - 1}}\)
4 \(1 - e\)