Question

What is the total resistance is a series circuit with the following values. Please solve the problem with your answer expressed as a fraction and given the following information:

Rt = R1 +R2 + R3 +R4

R1 = 1/4 A

R2 = 3/16A

R3 = 5/32 A

R4 = 1/64 A

Answer 1

To find the total resistance of a series circuit, we need to add up the resistance values of each component.

Given:
R1 = 1/4 A
R2 = 3/16 A
R3 = 5/32 A
R4 = 1/64 A

To find the total resistance (Rt), we add up these values:

Rt = R1 + R2 + R3 + R4
Rt = 1/4 + 3/16 + 5/32 + 1/64

We need to find a common denominator before adding fractions:

Rt = (16/64) + (12/64) + (10/64) + (1/64)
Rt = (16 + 12 + 10 + 1)/64
Rt = 39/64

Therefore, the total resistance (Rt) is 39/64 A.