Three resistors with values of R_1, R_2 and R_3 respectively, are connected in s

Question

Three resistors with values of R_1, R_2 and R_3 respectively, are connected in series. Which of the following expresses the value of the total resistance, R_T, in the system made up of the three resistors? R_T = R_1 + R_2 + R_3 R_T = (1/R_1 + 1/R_2 + 1/R_3) R_T = R_1 = R_2 = R_3 R_T = (1/R_1 + 1/R_2 + 1/R_3)^4 Three resistors with values of R_1, R_2, and R_3, respectively, are connected in parallel. Which of the following expresses the value of the total resistance, R_T, in the system made up of the three resistors connected in parallel? R_T = R_1 + R_2 + R_3 R_T = (1/R_1 + 1/R_2 + 1/R_3) R_T = R_1 = R_2 = R_3 R_T = (1/R_1 + 1/R_2 + 1/R_3)^1

Explanation / Answer

(9) Option (a) is the correct answer.

For series connection -

R(T) = R1 + R2 + R3

(10) Option (d) is the correct answer.

For parallel connection -

1/R(T) = 1/R1 + 1/R2 + 1/R3

=> R(T) = [1/R1 + 1/R2 + 1/R3]^-1

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