What is the current running through a parallel circuit containing a 10 V battery and three resistors, each 3 ohms

Question

What is the current running through a parallel circuit containing a 10 V battery and three resistors, each 3 ohms

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Nick 2 weeks 2021-07-16T06:36:41+00:00 1 Answers 0 views 0

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    2021-07-16T06:38:05+00:00

    Answer:

    the current through the circuit is 10 A.

    Explanation:

    Given;

    voltage of the battery, V = 10 V

    number of the parallel resistors, = 3

    resistance of each resistor, r = 3 ohms

    The equivalent resistance is calculated as;

    \frac{1}{R_t} = \frac{1}{r_1}+ \frac{1}{r_2}  + \frac{1}{r_3} \\\\\frac{1}{R_t} = \frac{1}{3}+ \frac{1}{3}  + \frac{1}{3}\\\\\frac{1}{R_t} =\frac{3}{3} \\\\\frac{1}{R_t} = 1\\\\R_t = 1 \ ohms

    The current through the circuit is calculated as;

    V = IRt

    I = V/Rt

    I = 10/1

    I = 10 A

    Therefore, the current through the circuit is 10 A.

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