Find the equivalent capacitance across points | vedclass

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(B) Let the potential at point $A$ be $V_A$ and at point $B$ be $V_B$. By observing the circuit,we can label the nodes. Let the node between the first

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$3C$

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(B) Let the potential at point $A$ be $V_A$ and at point $B$ be $V_B$. By observing the circuit,we can label the nodes. Let the node between the first and second capacitor be $X$,and the node between the second and third capacitor be $Y$. However,notice that the wire connects the node after the first capacitor directly to the node before the third capacitor. This means the second capacitor is short-circuited. Also,the wire connects point $A$ to the node after the second capacitor,and the node after the first capacitor to point $B$. By re-drawing the circuit based on the connections,all three capacitors are connected in parallel between points $A$ and $B$. Since all three capacitors of capacitance $C$ are in parallel,the equivalent capacitance $C_{eq} = C + C + C = 3C$.

Find the equivalent capacitance across points $A$ and $B$.

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