358371 Figure shows a circuit having a coil of resistance \({R=2.5 \Omega}\) and inductance \({L}\) connected to a conducting rod \({P Q}\) which can slide on a perfectly conducting circular ring of radius 10 \(cm\) with its center at \({P}\). Assume that friction and gravity are absent and a constant uniform magnetic field of 5 \(T\) exists as shown in figure.


At \({t=0}\), the circuit is switched on and simultaneously a time-varying external torque is applied on the rod so that it rotates about \({P}\) with a constant angular velocity \(40\,rad{s^{ - 1}}.\) Find the magnitude of this torque when current reaches half of its maximum value. Neglect the self inductance of the loop formed by the circuit.

358372 An inductor \((L=0.03 H)\) and a resistor \((R = 0.15\,k\Omega )\) are connected in series to a battery of \(15\,\;V\) e.m.f in a circuit shown. The key \(k_{1}\) has been kept closed for a long time. Then at \(t = 0,\,{K_1}\) is opened and key \(K_{2}\) is closed simultaneously. At \(t = 1\,\;ms\), the current in the circuit will be: \(\left(e^{5} \cong 150\right)\)

358373 Find the steady state current through \(L_{1}\) in the figure.

358374 An inductor \(L\), a resistance \(R\) and two identical bulbs, \(B_{1}\) and \(B_{2}\) are connected to a battery through a switch \(S\) as shown in the figure. Which of the following statements gives the correct description of the happenings when the switch \(S\) is closed.

358371 Figure shows a circuit having a coil of resistance \({R=2.5 \Omega}\) and inductance \({L}\) connected to a conducting rod \({P Q}\) which can slide on a perfectly conducting circular ring of radius 10 \(cm\) with its center at \({P}\). Assume that friction and gravity are absent and a constant uniform magnetic field of 5 \(T\) exists as shown in figure.


At \({t=0}\), the circuit is switched on and simultaneously a time-varying external torque is applied on the rod so that it rotates about \({P}\) with a constant angular velocity \(40\,rad{s^{ - 1}}.\) Find the magnitude of this torque when current reaches half of its maximum value. Neglect the self inductance of the loop formed by the circuit.

358372 An inductor \((L=0.03 H)\) and a resistor \((R = 0.15\,k\Omega )\) are connected in series to a battery of \(15\,\;V\) e.m.f in a circuit shown. The key \(k_{1}\) has been kept closed for a long time. Then at \(t = 0,\,{K_1}\) is opened and key \(K_{2}\) is closed simultaneously. At \(t = 1\,\;ms\), the current in the circuit will be: \(\left(e^{5} \cong 150\right)\)

358373 Find the steady state current through \(L_{1}\) in the figure.

358374 An inductor \(L\), a resistance \(R\) and two identical bulbs, \(B_{1}\) and \(B_{2}\) are connected to a battery through a switch \(S\) as shown in the figure. Which of the following statements gives the correct description of the happenings when the switch \(S\) is closed.

358371 Figure shows a circuit having a coil of resistance \({R=2.5 \Omega}\) and inductance \({L}\) connected to a conducting rod \({P Q}\) which can slide on a perfectly conducting circular ring of radius 10 \(cm\) with its center at \({P}\). Assume that friction and gravity are absent and a constant uniform magnetic field of 5 \(T\) exists as shown in figure.


At \({t=0}\), the circuit is switched on and simultaneously a time-varying external torque is applied on the rod so that it rotates about \({P}\) with a constant angular velocity \(40\,rad{s^{ - 1}}.\) Find the magnitude of this torque when current reaches half of its maximum value. Neglect the self inductance of the loop formed by the circuit.

358372 An inductor \((L=0.03 H)\) and a resistor \((R = 0.15\,k\Omega )\) are connected in series to a battery of \(15\,\;V\) e.m.f in a circuit shown. The key \(k_{1}\) has been kept closed for a long time. Then at \(t = 0,\,{K_1}\) is opened and key \(K_{2}\) is closed simultaneously. At \(t = 1\,\;ms\), the current in the circuit will be: \(\left(e^{5} \cong 150\right)\)

358373 Find the steady state current through \(L_{1}\) in the figure.

358374 An inductor \(L\), a resistance \(R\) and two identical bulbs, \(B_{1}\) and \(B_{2}\) are connected to a battery through a switch \(S\) as shown in the figure. Which of the following statements gives the correct description of the happenings when the switch \(S\) is closed.

358371 Figure shows a circuit having a coil of resistance \({R=2.5 \Omega}\) and inductance \({L}\) connected to a conducting rod \({P Q}\) which can slide on a perfectly conducting circular ring of radius 10 \(cm\) with its center at \({P}\). Assume that friction and gravity are absent and a constant uniform magnetic field of 5 \(T\) exists as shown in figure.


At \({t=0}\), the circuit is switched on and simultaneously a time-varying external torque is applied on the rod so that it rotates about \({P}\) with a constant angular velocity \(40\,rad{s^{ - 1}}.\) Find the magnitude of this torque when current reaches half of its maximum value. Neglect the self inductance of the loop formed by the circuit.

358372 An inductor \((L=0.03 H)\) and a resistor \((R = 0.15\,k\Omega )\) are connected in series to a battery of \(15\,\;V\) e.m.f in a circuit shown. The key \(k_{1}\) has been kept closed for a long time. Then at \(t = 0,\,{K_1}\) is opened and key \(K_{2}\) is closed simultaneously. At \(t = 1\,\;ms\), the current in the circuit will be: \(\left(e^{5} \cong 150\right)\)

358373 Find the steady state current through \(L_{1}\) in the figure.

358374 An inductor \(L\), a resistance \(R\) and two identical bulbs, \(B_{1}\) and \(B_{2}\) are connected to a battery through a switch \(S\) as shown in the figure. Which of the following statements gives the correct description of the happenings when the switch \(S\) is closed.