Three parallel connected resistors when connected

Question

Three parallel connected resistors when connected across a d.c. voltage source dissipate a total power of 72 W. The total current drawn is 6 A, the current flowing through the first resistor is 3 A and the second and third resistors have equal value. What are the resistances of the three resistorsThree parallel connected resistors when connected across a d.c. voltage source dissipate a total power of 72 W. The total current drawn is 6 A, the current flowing through the first resistor is 3 A and the second and third resistors have equal value. What are the resistances of the three resistorsThree parallel connected resistors when connected across a d.c. voltage source dissipate a total power of 72 W. The total current drawn is 6 A, the current flowing through the first resistor is 3 A and the second and third resistors have equal value. What are the resistances of the three resistors

Khimraj · Accepted Answer

Let the total resistance is Req and dc voltage is V voltage and total current be I amp thenTotal power P = 72W and I = 6AV*I = 72THen V = 12VCurrent through first resistor is I1 3A let it resistance is R1 then12/R1 = 3R1= 4Let second resistance is R2 and current flowing through it is I2And third resistance is R3 and current flowing through it is I3If second and third resistor have equal value then equal current will flow through them.R2 = R3 and I2 = I3I = I1 + I2 + I3 = I1 + 2I26 = 3 + 2I2I2 = 3/2So R2 = V/I2 = 12/1.5 = 8 ohmSo R3 = R2 = 8 ohmHope it clears. If you like answer then please approve it.

General Physics> Three parallel connected resistors when c...

mayowa , 8 Years ago

Khimraj

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General Physics> Three parallel connected resistors when c...

mayowa , 8 Years ago

Khimraj

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