One application of an RL circuit is the generation of high voltage from a low vo

Question

One application of an RL circuit is the generation of high voltage from a low voltage source. In the figure shown, assume that the switch has been at position 1 for a long time. Now, the switch is thrown quickly from position 1 to position 2. Compute the initial voltage across R1. In the figure, V = 24 V, L = 5 H, R1 = 16 00 , and R2 = 10 . (Answer in Volts.)

One application of an RL circuit is the generation of high voltage from a low voltage source. In the figure shown, assume that the switch has been at position 1 for a long time. Now, the switch is thrown quickly from position 1 to position 2. Compute the initial voltage across R1. In the figure, ?V = 24 V, L = 5 H, R1 = 16 00 ?, and R2 = 10 ?. (Answer in Volts.)

Explanation / Answer

Given

Voltage V = 24 V

Resistance of the resistor R1 = 1600

                                       R 2 = 10

                 I = V / ( R 2 )

                    = 24 V / ( 10 )

                     = 2.4 A

Here the resistors are connected in series combination

Since the resistors are in series combination , current passing through each resistor is same

Initial Voltage across R 1 is

                  V 1   = I R 1

                          = ( 2.4 A ) ( 1600 )

                         = 3840 V

                           or

                          = ( 3840 V ) ( 10-3 kV / V )

                          = 3.840 kV

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