In a circuit, two capacitors of capacitance 4μF and 6μF are connected in paralle

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Question: In a circuit, two capacitors of capacitance 4μF and 6μF are connected in parallel. What is the total capacitance?

Options:

Correct Answer: 10μF

Solution:

For capacitors in parallel, the total capacitance is the sum of the individual capacitances: C_total = C1 + C2 = 4μF + 6μF = 10μF.

In a circuit, two capacitors of capacitance 4μF and 6μF are connected in parallel. What is the total capacitance?

In a circuit, two capacitors of capacitance 4μF and 6μF are connected in parallel. What is the total capacitance?

Correct Answer: 10μF

Step 1: Identify the capacitance values of the two capacitors. The first capacitor (C1) has a capacitance of 4μF and the second capacitor (C2) has a capacitance of 6μF.
Step 2: Understand that when capacitors are connected in parallel, the total capacitance is found by adding the individual capacitances together.
Step 3: Write the formula for total capacitance in parallel: C_total = C1 + C2.
Step 4: Substitute the values into the formula: C_total = 4μF + 6μF.
Step 5: Perform the addition: 4μF + 6μF = 10μF.
Step 6: Conclude that the total capacitance of the circuit is 10μF.

Capacitance in Parallel Circuits – In parallel circuits, the total capacitance is calculated by summing the individual capacitances of the capacitors connected in parallel.