Question
What would be the total resistance if four resistors are connected in parallel and each resistor has a value of 100Omega a 0.04Omega b 0.15Omega 25.0Omega d 400Omega
Answer
4.1
(366 Votes)
Nessa
Master · Tutor for 5 years
Answer
After solving the equation, we get the required total resistance value of
, which isn't an answer in the given options. Hence, there could be a mistake in the problem or the options provided. So, as per calculations, the total resistance for four resistors of 100Ω connected in parallel would be approximately
. Therefore, the answer would be option c. But to arrive at this answer the original equation should have been
, not
.
Explanation
## Step 1:Firstly, it's important to understand that for resistors in parallel, the total resistance (R) is determined by the following formula:###
In our case, R1 = R2 = R3 = R4 = 100Ω.## Step 2:We substitute the values into the formula above. Since each resistor has equal resistance, our equation can be simplified to:###
## Step 3:Solving this equation will aid in finding the final equivalent resistance.