A circuit made up of 6 resistors is shown in the figure, with resistances R 1 =

Question

A circuit made up of 6 resistors is shown in the figure, with resistances R1 = 19 , R2 = 25 , R3 = 47 , R4 = 66 , R5 = 83 , and R6 = 63 . The total current going through the circuit is I = 18.5 A.

a) Express the equivalent resistance of the combination of R4, R5, and R6.

b) Express the equivalent resistance of the combination of R3, R4, R5 and R6.

c) Express the equivalent resistance R of the combination of R1, R2, R3, R4, R5 and R6.

d) Calculate the numerical value of the equivalent resistance R in .

e) Express the potential difference between a and b, V, in terms of the total current I and the equivalent resistance of the entire circuit R.

f) Calculate the numerical value of V in V.

Explanation / Answer

a) R4 , R5 and R6 are in series

R = R4 + R5 + R6

= 66 + 83 + 63 = 212 ohm

b) R3 and R are in parallel

R = 212*47 / (212+47) = 38.47 ohm

c) R1 , R and R2 are in series

R = 19 + 38.47 +25 = 82.47 ohm

d) equivalent resistance = 82.47 ohm

e) V = IR

f) 18.5*82.47 = 1525.7 V

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