Please show and explain all work. CP In the circuit shown in Fig. P30.61, elemen

Question

Please show and explain all work.

CP In the circuit shown in Fig. P30.61, element = 60.0 V, R1 = 40.0 Ohm, R2 = 25.0 Ohm, and L = 0.300 H. Switch S is closed at t = 0. Just after the switch is closed, (a) what is the potential difference vab across the resistor R1: (b) which point, a or b, is at a higher potential: (c) what is the potential difference vcd across the inductor L: (d) which point, c or d, is at a higher potential? The switch is left closed a long time and then opened. Just after the switch is opened, (e) what is the potential difference vab across the resistor R1: (f) which point, a or b, is at a higher potential: (g) what is the potential difference vcd across the inductor L: (h) which point, c or d, is at a higher potential?

Explanation / Answer

given E = 60 V
R1 = 40 ohm
R2 = 25 ohm
L = 0.3 H

a. at t = 0, switch is closed, so, the induxtor acts as open circuit
so Vab = E = 60 V
b. Potential at A is higher as it is connected to the positive terminal of the battery
c. Vcd ( across the inductor ) = 0 as it is an open circuit
d. both points are at same potential
e. after long time, the inductor starts behaving like a short circuit component
so, again, R1 and R2 become parallel resistors, so Vab = 60 V
f. A is at higher potential again
g. Vcd = 0 V
h. both points are at same potential

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