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From the diagram above calculate the total curr... - JAMB Physics 2017 Question

From the diagram above, calculate the total current in the circuit
A
5.0A
B
3.7A
C
4.5A
D
4.0A
correct option: b
V = IR from ohms law

I = \(\frac{V}{R}\)

Since the resistance are in parallel

\(\frac{1}{Reff}\) = \(\frac{1}{8}\) + \(\frac{1}{12}\) + \(\frac{1}{6}\)

= \(\frac{2 + 3 + 6}{36}\) = \(\frac{11}{36}\)

Reff = \(\frac{36}{11}\) = 3.27

I = I1 + I2 + I3

= \(\frac{V}{Reff}\)= \(\frac{12}{3.27}\)

= 3.669A

I = 3.7A
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