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Q:

three_resistors_are_arranged_in_a_circuit_as_shown_above1559105724.PNG image

Three resistors are arranged in a circuit as shown above. The battery has an unknown but constant emf ε and a negligible internal resistance.

Now, determine the equivalent resistance of the three resistors.

A) 12 Ω B) 10 Ω
C) 16 Ω D) 15 Ω

Answer:   A) 12 Ω



Explanation:

From the given circuit,

three_resistors_are_arranged_in_a_circuit_as_shown_above1559105964.PNG image

The resistors R1 and R2 are in parallel connection and R3 is in series with R1 & R2

The equivalent resistance of R1 and R2 is

Req = (12 × 4)/(12 + 4) = 3 Ω.

Adding R3 in series with the pair gives

R = Req + 9

R = 3 + 9

R = 12 Ω.

Subject: Physics
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