Since the rate of current is constant throughout a series circuit,

the value of 2 amperes (It) is designated as the value of current

through R1, R2, and R3, as shown in the chart below.

Total resistance of the circuit is computed in the following manner:

Rt = Et

It

= 200 volts

2 amps

Rt = 100 ohms

Since Rt is equal to 100 ohms and Rt = R1 + R2 + R3, the value of R3,

from Rt.

This difference is then equal to the value of the unknown resistor.

Expressed mathematically:

Rt = R1 + R2 + R3

R3 = Rt - R1 - R2

R3 = 100 ohms - 50 ohms - 15 ohms

R3 = 35 ohms

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