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Series-Parallel Circuits - Engineering

Q1:

A certain circuit is composed of two parallel resistors. The total resistance is 1,403 . One of the resistors is 2 k. The other resistor value is

A 1,403 

B 4.7 k

C 2 k

D 3,403 

ANS:B - 4.7 k

Rt = R1 + R2/R1*R2.
1403 = R1*2000/R1+2000.
1403(R1 + 2000) = 2000 * R1.
1403R1 + 2806000 = 2000 * R1.
1403R1 - 2000R1 = -2806000.
-597R1 = -2806000,
R1 = 4700.16 ohm.
R1 = 4.7 kohm.