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Parallel Circuits

Q1:

If a 1 k and a 2 k resistor are parallel-connected across a 12 V supply, how much current is received by the 2 k resistor?

A 4 mA

B 6 mA

C 8 mA

D 12 mA

ANS:B - 6 mA

I = I1 + I2.
I = V/R.
1/R = 1/R1 + 1/R2.
1/R = 1 + 1/2 = 3/2, So R = 2/3.

NOW I = V/R SO, I = 12/ (2/3) = 18.

AND I1= V/ R1 = 12/ 1= 12.

SO IN EQUATION 1.

I = I1 + I2.
18 = 12 + I2.

SO, I2 = 18 - 12 = 6mA.



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