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3 years ago

What is the equivalent resistance for a series circuit with three resistors: 19.2 ohms, 24.6 ohms, and 31.2 ohms?

Physics

2 answers:

navik [9.2K]3 years ago

5 0

The answer would be 75 ohms

Talja [164]3 years ago

5 0

Answer : The equivalent resistance for a series circuit is $75.0\Omega$

Explanation :

Equivalent resistance : It represents the total effect of all resistors in the circuit.

In series circuit, we add all the resistances of each component.

$R=R_1+R_2+R_3....$

In parallel circuit, the reciprocal of the total resistance is equal to the sum of the reciprocals of the resistances of each component.

$\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}...$

As we are given:

$R_1=19.2\Omega$

$R_2=24.6\Omega$

$R_3=31.2\Omega$

Now we have to calculate the equivalent resistance for a series circuit.

$R=R_1+R_2+R_3$

$R=19.2\Omega+24.6\Omega+31.2\Omega$

$R=75.0\Omega$

Therefore, the equivalent resistance for a series circuit is $75.0\Omega$

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zhannawk [14.2K]

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After adding them, you will get the reciprocal again and then compute for the value. The problem says that there are 4 resistors in the circuit that have a resistance of 75.

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