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MCA Physics (024) Practice Tests & Test Prep by Exam Edge

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MCA Physics Sample Test

1 of 5

What is the total capacitance?

Correct Answer:

3c

to address the question of what the total capacitance is when capacitors are arranged, it's crucial to understand how capacitors behave when connected in different configurations. capacitors can be connected in two primary ways: in series or in parallel. the arrangement impacts the total or equivalent capacitance of the circuit.

in this specific question, we are dealing with capacitors arranged in parallel. when capacitors are connected in parallel, the total or equivalent capacitance (c_eq) is calculated by simply adding the capacitance values of each individual capacitor. the formula to find the equivalent capacitance for capacitors in parallel is: \[ c_{eq} = c_1 + c_2 + c_3 + ... + c_n \] where $ c_1, c_2, c_3, \ldots, c_n $ are the capacitances of the individual capacitors.

applying this formula to the given problem where each capacitor has a capacitance of 'c' and there are three capacitors in parallel, the calculation would be: \[ c_{eq} = c + c + c \] \[ c_{eq} = 3c \]

therefore, the total capacitance of this parallel arrangement is 3c. this result confirms that in parallel connections, the overall capacitance increases as more capacitors are added, which is advantageous when a higher capacitance is required in an electrical circuit. this differs from series arrangements where the total capacitance is reduced as more capacitors are added.