Question

A 4ohm coil and 2ohm coil are connected in parallel. Find their combined resistance? A total current of 3A passes through the coils. what current passes through the 2ohm coil

Answer 1

hence current passes through 2ohm resistor is 2 Ampere

I hope this finds helpful to you

Answer 2

The current passes through the 2 ohm coil is 2 A.

Explanation:

It is given that,

Resistance 1, $R_1=4\ \Omega$

Resistance 2, $R_2=2\ \Omega$

Let R is the combined resistance. In parallel combination, the voltage across every resistor remains the same while the current divides. Equivalent resistance is given by :

$\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}$

$\dfrac{1}{R}=\dfrac{1}{4}+\dfrac{1}{2}$

R = 1.34 ohms

Total current, I = 3 A

If V is the voltage of the circuit, so,

$I=\dfrac{V}{R}$

$3=\dfrac{V}{1.34}$

V = 4.02 Volts or 4 volts

Let I' is the current passes through the 2 ohm coil. It is given by :

$I'=\dfrac{V}{R}$

$I'=\dfrac{4}{2}$

I' = 2 A

So, the current passes through the 2 ohm coil is 2 A. Hence, this is the required solution.

Learn more,

Parallel combination of resistors

https://brainly.in/question/11390311