What is the total resistance in a circuit with a 12 ohm and a 4 ohm resistor con

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Question: What is the total resistance in a circuit with a 12 ohm and a 4 ohm resistor connected in parallel?

Options:

Correct Answer: 3 ohms

Solution:

1/R_eq = 1/12 + 1/4 => R_eq = 3 ohms.

What is the total resistance in a circuit with a 12 ohm and a 4 ohm resistor connected in parallel?

What is the total resistance in a circuit with a 12 ohm and a 4 ohm resistor connected in parallel?

Correct Answer: 3 ohms

Step 1: Identify the resistors in the circuit. We have a 12 ohm resistor and a 4 ohm resistor.
Step 2: Use the formula for total resistance in parallel: 1/R_eq = 1/R1 + 1/R2.
Step 3: Substitute the values into the formula: 1/R_eq = 1/12 + 1/4.
Step 4: Calculate 1/4. This is equal to 0.25.
Step 5: Now, rewrite the equation: 1/R_eq = 1/12 + 0.25.
Step 6: Convert 0.25 to a fraction: 0.25 = 1/4.
Step 7: Find a common denominator for 1/12 and 1/4. The common denominator is 12.
Step 8: Rewrite 1/4 as 3/12. Now the equation is: 1/R_eq = 1/12 + 3/12.
Step 9: Add the fractions: 1/R_eq = (1 + 3)/12 = 4/12.
Step 10: Simplify 4/12 to 1/3. So, 1/R_eq = 1/3.
Step 11: To find R_eq, take the reciprocal of 1/3. This gives R_eq = 3 ohms.

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