Calculate the net(equivalent) resistance of the circuit if resistances of 10 Ω, 5 Ω and 15 Ω are connected in parallel.
give explanation and show the working
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★Question:—
Calculate the net(equivalent) resistance of the circuit if resistances of 10 Ω, 5 Ω and 15 Ω are connected in parallel.
‡Answer:—
- → 2.72 Ω
Step by Step explanation:—
Here it is given that:—
→ R1 = 10 Ω
→ R2 = 15 Ω
→ R3 = 5 Ω
R1, R2 and R3 are connected in parallel, then equivalent resistance R is given by:—
→ 1/R = 1/R1 + 1/R2 + 1/R3
→ 1/R = 1/10 + 1/15 + 1/5
→ 1/R = 11/30
So,
→ R = 30/11
Therefore,
Equivalent resistance, R = 30/11 = 2.72 Ω
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