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Question 5 (2 marks)
Re-arrange the following equation to make
C the subject.

e=ir+(Q)/(C)

Question $5$ ( $2$ marks) $\newline$ Re-arrange the following equation to make $C$ the subject. $\newline$ $e=i r+\frac{Q}{C}$

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Full solution

Q. Question

5

(

2

marks)

\newline

Re-arrange the following equation to make

C

the subject.

\newline

e=i r+\frac{Q}{C}

Question prompt: Question prompt: ＂Re-arrange the following equation to make $C$ the subject.＂ $\newline$ Given equation: $e = ir + \frac{Q}{C}$ $\newline$ First, we want to isolate the term containing $C$ on one side of the equation. $\newline$ Subtract $ir$ from both sides of the equation to get: $\newline$ $e - ir = \frac{Q}{C}$
Isolate C term: Now that we have $e - ir$ on one side, we want to solve for $C$ . To do this, we need to take the reciprocal of both sides because $C$ is currently in the denominator on the right side. $\newline$ Taking the reciprocal, we get: $\newline$ $C = \frac{Q}{(e - ir)}$
Take reciprocal: We have successfully isolated $C$ and expressed it in terms of the other variables. There are no further algebraic steps required.

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