Three 15.0-W resistors are connected in parallel across a 30.0-V battery. Please show all work. a) Find the current through each branc

Question

Three 15.0-W resistors are connected in parallel across a 30.0-V battery. Please show all work.
a) Find the current through each branch of the circuit.
b) Find the equivalent resistance of the circuit.
c) Find the current through the battery.

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Thu Thảo 5 months 2021-08-22T00:50:07+00:00 1 Answers 24 views 0

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    2021-08-22T00:51:07+00:00

    Answer:

    Part A)

    Since all of the resistors have equal resistance, hence for finding even only 1 branch It will be fine because current will be the same for all branches.

    => I = \frac{V}{R_{1} }

    => I = \frac{30}{15}

    => I = 2 A

    Part B)

    Equivalent resistance for parallel circuits is the sum of reciprocals of each resistor.

    => \frac{1}{R} = \frac{1}{R_{1}}+\frac{1}{R_{2}} +\frac{1}{R_{3}}  

    => \frac{1}{R} = \frac{1}{15}+ \frac{1}{15}+\frac{1}{15}

    => \frac{1}{R} = \frac{3}{15}

    => R = 15/3

    => R = 5 ohms

    Part C)

    I = V/R

    Where I is current, V is voltage and R is the equivalent resistance

    => I = 30/5

    => I = 6 A

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