Three cells each of emf, 1.0 V, and internal resistance, 2Ω, are connected in parallel
PHYSICSWAEC 2022
Three cells each of emf, 1.0 V, and internal resistance, 2Ω, are connected in parallel across a 3Ω resistor. Determine the current in the resistor.
- A. 0.90A
- B. 0.39A
- C. 0.30A
- D. 0.01A
Correct Answer: C. 0.30A
Explanation
Given Data: Emf = 1v, r = 2 ohms, R = 3 ohms, I = ?
3 resistance in parallel = \(\frac{1}{r_1}\) + \(\frac{1}{r_2}\) + \(\frac{1}{r_3}\)
\(\frac{1}{r_T}\)= \(\frac{1}{2}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\)
\(\frac{1}{r_T}\) = \(\frac{1+1+1}{2}\)
\(\frac{1}{r_T}\) = \(\frac{3}{2}\)
cross multiply
r\(_T\) = \(\frac{2}{3}\) or 0.67
E = I(R+r)
1 = I(3+0.67)
1 = I(3.67)
1 ÷ 3.67 = I
0.27 = I
: I ≈ 0.30A
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