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18/07/2021 2:45 pm
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A p.d. of 6 V is applied to two resistors of 3 Ω and 6 Ω connected in parallel. Calculate :
(a) the combined resistance
(b) the current flowing in the main circuit
(c) the current flowing in the 3 Ω resistor.
1 Answer
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18/07/2021 2:50 pm
V = 6V
R1 = 3 ohm, R2 = 6 ohm (in parallel)
(a) Combined resistance
\(\frac{1}{R}\) = \(\frac{1}{R_1}\) + \(\frac{1}{R_2}\)
\(\frac{1}{R}\) = \(\frac{1}{3}\) + \(\frac{1}{6}\)
= \(\frac{3}{6}\) = \(\frac{1}{2}\)
R = 2 ohm
(b) Current flowing in the main circuit, I = \(\frac{V}{R}\) =\(\frac{6}{2}\)
= 3 A
(c) Current flowing in 3 ohm resistor = \(\frac{V}{R_1}\) =\(\frac{6}{3}\) = 2 A