If two resistors are connected in parallel, the total resistance is:

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Question: If two resistors are connected in parallel, the total resistance is:

Options:

Correct Answer: Less than the smallest resistor

Solution:

The total resistance in a parallel circuit is always less than the smallest resistor due to the formula 1/R_total = 1/R1 + 1/R2.

If two resistors are connected in parallel, the total resistance is:

If two resistors are connected in parallel, the total resistance is:

Step 1: Understand that resistors can be connected in different ways. In this case, we are looking at parallel connections.
Step 2: Know that in a parallel connection, the current can flow through multiple paths.
Step 3: Identify the resistors you have. Let's call them R1 and R2.
Step 4: Remember the formula for total resistance in parallel: 1/R_total = 1/R1 + 1/R2.
Step 5: To find R_total, first calculate 1/R1 and 1/R2 separately.
Step 6: Add the results from Step 5 together to get the total on the right side of the equation.
Step 7: Take the reciprocal of the total from Step 6 to find R_total. This means you will do 1 divided by that total.
Step 8: Understand that the total resistance (R_total) will always be less than the smallest resistor (either R1 or R2).

Parallel Resistor Formula – The total resistance in a parallel circuit is calculated using the formula 1/R_total = 1/R1 + 1/R2, indicating that the total resistance is always less than the smallest individual resistor.