Question

What is the equivalent resistance of three 50 ohm resistors in series

Answer 1

Answer:

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Answer 2

The equivalent resistance of three 50 ohm resistors connected in series can be found as follows.

Given:

The resistance of the first resistor, $R_1$ = 50 Ω.

The resistance of the second resistor, $R_2$ = 50 Ω.

The resistance of the third resistor, $R_3$ = 50 Ω.

The number of resistors, n = 3.

To Find:

We have to find the equivalent resistance of three 50 ohm resistors connected in series using the given values.

Solution:

A series connection is a method of completing a circuit by connecting the resistors one after the other.

The equation for effective resistance or equivalent resistance in a series connection is given by,

$R = R_1 + R_2 + R_3$

Substituting the given values for resistance, the above equation becomes,

$R = 50 + 50+ 50 = 150$ Ω.

The effective resistance in a series circuit can be calculated in another way as well.

In the case where all of the resistors have the same value, the equivalent resistance can be obtained by multiplying each resistor's resistance by the total number of resistors.

$R =$ Resistance of 1 resistor × n = 50 × 3 $= 150$ Ω.

Hence, the equivalent resistance of three 50 ohm resistors connected in series is 150 Ω.

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