5. A circuit composed of resistors and inductors is shown here. Because of Farad

Question

5. A circuit composed of resistors and inductors is shown here. Because of Faraday's law and Lenz's law, the current in an inductor cannot change RA-100 instantaneously. When the switch is open, the circuit is not complete and all of the labeled 30 L-10mH urrents are equal to zero. First consider the instant when the switch is V R2 200 a. What is the current in the inductor j, at the instant the switch is closed? b What is the relationship between currents z, and li? Find currents and at the instant the switch is closed.

Explanation / Answer

a. when the switch is closed
current in the inductor cannot change instantaneously
so inductor would act as a open switch
so current in the inductor at t = 0 is 0
b.    I1 = I2 at t = 0
   and Il = 0
   at t= 0 when the switch is closed
c. Potential difference across ther resistor 2 = potential difference across the inductor , as both are connected in parallel
d. at thte instant the switch is closed
potential difference across the inductor = pitential difference actross resistor 2 = I2*R2 = V*R2/(R1 + R2) = 30*20/30 = 20 V
but from faraday's law
20 V = LdI/dt = 0.01*di/dt
di/dt = 2000 A/s [ +ve, and increasing]

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