A 20.0 Ω, 12.0 Ω, and 7.00 Ω resistor are connected in parallel to an emf source. A current of 8.00 A is in the 12.0 Ω resistor. Calculate the equivalent resistance of the circuit. Answer in units of Ω.

Respuesta :

Answer:

3.62 ohms

Explanation:

Equivalent resistance in parallel is given as

The equivalent resistance of 20.0Ω, 12Ω, and 7Ω all in parallel

[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}[/tex]

now we have

[tex]\frac{1}{R} = \frac{1}{20} + \frac{1}{12} + \frac{1}{7}[/tex]

[tex]\frac{1}{R} = \frac{84+140+240}{1680}[/tex]

[tex]\frac{1}{R} = \frac{464}{1680}[/tex]

[tex]R = \frac{1680}{464}[/tex]

[tex]R = 3.62ohms[/tex]