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Question #16

A parallel circuit consists of three resistors: [tex]R_1 = 30 \, \text{ohms}[/tex], [tex]R_2 = 15 \, \text{ohms}[/tex], and [tex]R_3 = 10 \, \text{ohms}[/tex]. If the current through [tex]R_2 = 4[/tex] amperes, what is the source voltage?

A. 20 volts
B. 60 volts
C. 120 volts
D. 220 volts


Sagot :

To determine the source voltage in a parallel circuit, we can use Ohm's Law, which states that the voltage across a resistor is equal to the product of the current flowing through it and its resistance.

Given:
- [tex]\( R2 = 15 \)[/tex] ohms
- [tex]\( I2 = 4 \)[/tex] amperes

We are asked to find the source voltage [tex]\( V_{source} \)[/tex].

Since the voltage across all resistors in a parallel circuit is the same, we can use the given values for [tex]\( R2 \)[/tex] and [tex]\( I2 \)[/tex] to find the source voltage:

[tex]\[ V_{source} = I2 \times R2 \][/tex]

Substituting the given values:

[tex]\[ V_{source} = 4 \, \text{amperes} \, \times \, 15 \, \text{ohms} \][/tex]
[tex]\[ V_{source} = 60 \, \text{volts} \][/tex]

Therefore, the source voltage is 60 volts.

The correct answer is:
B 60 volts
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