The diagram below shows three capacitors of capacitance C1, C2, and C3 connected in parallel to a p…

The diagram below shows three capacitors of capacitance C1, C2, and C3 connected in parallel to a potential difference V. Work through question 1 in order to obtain the value, in terms of C1, C2, and C3, of a single capacitor C that would replace all three. (a) Write down expressions for the following: (i) C1 in terms of V and Q1 (ii) C2 in terms of V and Q2 (iii) C3 in terms of V and Q3 (iv) C in terms of V and Q3 (b) What is the total charge Q of all three capacitors in terms of Q1, Q2, and Q3? (c) Using your answers to (a) and (b), obtain an expression for C in terms of C1, C2, and C3.

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