The equivalent capacitance between A and B will be

Options

A. 2C
B. `(C)/(2)`
C. `3C`
D. `(2)/(C)`

Answer

To find the equivalent capacitance between points A and B, we can follow these steps:

### Step 1: Identify the Configuration of Capacitors
In the given circuit, we have three capacitors, each with a capacitance of 1 microfarad (μF), connected between points A and B.

### Step 2: Determine the Type of Connection
Since all three capacitors are connected directly between the same two points (A and B), they are in parallel. In a parallel configuration, the voltage across each capacitor is the same.

### Step 3: Use the Formula for Equivalent Capacitance in Parallel
The formula for calculating the equivalent capacitance (C_eq) of capacitors in parallel is:
\[ C_{eq} = C_1 + C_2 + C_3 + ... \]
where \( C_1, C_2, C_3, ... \) are the capacitances of the individual capacitors.

### Step 4: Substitute the Values
For our case, we have:
- \( C_1 = 1 \, \mu F \)
- \( C_2 = 1 \, \mu F \)
- \( C_3 = 1 \, \mu F \)

Thus, substituting these values into the formula gives:
\[ C_{eq} = 1 \, \mu F + 1 \, \mu F + 1 \, \mu F = 3 \, \mu F \]

### Step 5: Conclusion
The equivalent capacitance between points A and B is:
\[ C_{eq} = 3 \, \mu F \]

### Final Answer:
The equivalent capacitance between A and B is **3 microfarads (μF)**.

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