A voltage source is connected across two 1 kohm resistors in parallel. The current flowing through the voltage source is measure by a curren

Question

A voltage source is connected across two 1 kohm resistors in parallel. The current flowing through the voltage source is measure by a current meter as 2 mA. What is the voltage across each resistor

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Thanh Thu 4 years 2021-08-04T00:54:58+00:00 1 Answers 13 views 0

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  1. thucuc
    0
    2021-08-04T00:56:52+00:00
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    Answer:

    1 Volt

    Explanation:

    The resistors have resistance R = 1 kΩ each = 1 x 10^3 Ω each

    The current through the voltage source I= 2 mA = 2 x 10^-3 A

    The resistors are in parallel, son the total resistance will be

    \frac{1}{R_{T}} = \frac{1}{R_{1}} + \frac{1}{R_{2}}

    \frac{1}{R_{T}} = 1/1 kΩ  + 1/1 kΩ

    \frac{1}{R_{T}}  = 2/1 kΩ

    R_{T} = 1 kΩ ÷ 2 = 0.5 kΩ = 500 Ω

    From V = IR

    where V is the voltage

    I is the current

    R is the resistance

    substituting, we have

    V = 500 x 2 x 10^-3 = 1 V   This is the voltage across each resistor

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