What is the equivalent resistance of a circuit that contains four 75.0 resistors connected in parallel with a 100.0 V battery?

18.75 ohms.

Explanation:

From the question,

]When four resistors are connected in parallel in a circuit,

The equilvalent resistor is given as

1/R' = 1/R₁+1/R₂+1/R₃+1/R₄Equation 1

Where R' = Equivalent resistor.

Given: R₁ = R₂ = R₃ = R₄ = 75.0 ohms.

Substitute these values into equation 1

1/R' = (1/75)+(1/75)+(1/75)+(1/75)

1/R' = 4/75

R' = 75/4

R' = 18.75 ohms.

Hence the equivalent resistance = 18.75 ohms.

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