Three resistors in parallel have an equivalent resistance of 5.0 ohms. two of the resistors have values of 10 ohms and 30 ohms. what is the resistance of the third resistor?

15 ohms

In this case we are given,

Effective resistance, Rt as 5.0 Ω

First resistor has 10 Ω

second resistor has 30 Ω

We are required to calculate the resistance of the third resistor;

But, effective resistance for parallel arrangement is given by;

Then;

Thus;

Therefore;

Thus, the resistance of the third resistor is 15 ohms

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explanation: