Science:Math Exam Resources/Courses/MATH152/April 2022/Question B5 (a)

MATH152 April 2022
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Question B5 (a)

This problem concerns the two circuits below. The voltage drops are ${\displaystyle V_{1},V_{2},E,}$ the currents are ${\displaystyle I,J_{1},J_{2},i_{1},i_{2}}$. The capacitances are ${\displaystyle C_{1}=2F}$ and ${\displaystyle C_{2}=3F,}$ the inductance is ${\displaystyle L=4H.}$

Two circuits.

(a) In the left circuit assume that ${\displaystyle V_{1},V_{2}}$ and ${\displaystyle I}$ are some given numbers. Use the loop current method to solve for ${\displaystyle i_{1},i_{2},E}$ in terms of ${\displaystyle V_{1},V_{2},I.}$

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