Question
What would be the total resistance of a series circuit containing five resistors each having a resistance of 10Omega a 5Omega b 100 C 50Omega d 500Omega
Answer
4.6
(270 Votes)
Yancy
Master · Tutor for 5 years
Answer
Based on our formula and calculations, option "c", which is
is the correct choice for the total resistance of a series circuit with five resistors each having a resistance of
. So, the answer is (c)
.
Explanation
## Step 1: The given question asks us to find the total resistance of a series circuit containing five resistors with each resistor having a resistance of
. In a series circuit, the total resistance \((R_T) \) is equal to the sum of each individual resistance as derived from Ohm's law.### The formula used to find the total resistance (R_T) is: **
**Where each of
and
is a resistor in the circuit. ## Step 2:Knowing that each individual resistor (
) has the resistance of
, substituting this value into our total resistance formula gives: **
**## Step 3:On calculation, we obtain a total resistance of - **
**Our Objective therefore is to find this total resistance of
in our multiple-choice options.