Distinguish between reactance and impedance. When a series combination of a coil of inductance L and a resistor of resistance R is connected across a 12 V, 50 Hz supply, a current of 0.5 A flows through the circuit. The current differs in phase from applied voltage by \(\frac { \pi }{ 3 } \) radian. Calculate the value of L and R.

A magnetic field \(\overrightarrow { B } ={ B }_{ 0 }\sin { \left( \omega t \right) } \hat { k } \)  covers a large region where a wire AB slides smoothly over two parallel conductors separated by a distance d. The wires are in the x-y plane. The wire AB (of length d) has resistance R and the parallel wires have negligible resistance. If AB is moving with velocity v. what is the current in the circuit. What is the force needed to keep the wire moving at constant velocity?

What are conservative and non-conservative fields?

What do you mean by quality factor or Q value of resonance circuit?

Lenz's law gives us the direction of current induced in a circuit. According to this law, the polarity of induced e.m.f. is always such that is opposes the change in megnetic flux responsible for its production. It means if e.m.f. induced is such as to oppose the increase in magnetic flux. The reverse is also true.
Read the above passage and answer the following questions:
(i) Does Lenz's law violate the principle of conservation of energy?
(ii) Name any other rule for finding the direction of induced current.
(iii) What does Lenz's law imply in day to day life?

Ram is a student of class X in a village school. His uncle gifted him a bicycle with a dynamo fitted in it. He was very excited to get it. While cucling during night, he could light the bulb and see the objects on the road. He, however did not know how this device works. He asked this question to his teacher. The teacher considered it an opportunity to explain the working to the whole class.
Answer the following questions:
(i) State the principle and working of a dynamo.
(ii) Write two values each displayed by Ram and his shool teacher.

A circuit containing 80 mH inductor and a \(60\mu F\) capacitor in series is connected to a 230 V, 50 Hz supply. The resistance in the circuit is negligible.
(i) Obtain the current amplitude and rms value.
(ii) Obtain tha rms value of potential drop across each element.
(iii) What is the average power transferred to inductor?
(iv) What is the average power transferred to capacitor?
(v) What is the total average power absorbed by the circuit?