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18/07/2021 2:29 pm
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In the circuit diagram given below, three resistors R1, R2, and R3 of 5 Ω, 10 Ω and 30 Ω, respectively are connected as shown.
Calculate :
(a) current through each resistor.
(b) total current in the circuit.
(c) total resistance in the circuit.
1 Answer
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18/07/2021 2:38 pm
I = 12 V
R1, R2, and R3 are connected in parallel.
(a) Current through R1= \(\frac{V}{R_1}\) = \(\frac{12}{5}\) = 2.4 A
Current through R2= \(\frac{V}{R_2}\) = \(\frac{12}{10}\) = 1.2 A
Current through R3= \(\frac{V}{R_3}\) = \(\frac{12}{30}\) = 0.4 A
(b) Total current in the circuit = 2.4 + 1.2 + 0.4 = 4 A
(c) Total resistance in the circuit = R
\(\frac{1}{R}\) = \(\frac{1}{R_1}\) + \(\frac{1}{R_2}\) + \(\frac{1}{R_3}\)
= \(\frac{1}{R}\) = \(\frac{1}{5}\) + \(\frac{1}{10}\) + \(\frac{1}{30}\)
= \(\frac{1}{R}\) = \(\frac{10}{30}\)
R = 3 ohm