An LRC-series circuit has the following parameters L = 1/2 h, R = 30, C = 1/1700 f. Find the charge q = q(t) on the capacitor if E(t) = 170V , q(0) = 5.1 C and q0(0) = 0. Please find q(t) by fi nding the general solution of DE for q(t) and using the initial conditions.

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An LRC-series circuit has the following parameters L = 1/2 h, R = 30,
C = 1/1700 f. Find the charge q = q(t) on the capacitor if E(t) = 170V , q(0) = 5.1 C and q0(0) = 0. Please find q(t) by fi nding the general solution of DE for q(t) and using the initial conditions.

### Problem 12

An LRC-series circuit has the following parameters:

- \( L = \frac{1}{2}h \)
- \( R = 30\Omega \)
- \( C = \frac{1}{1700}f \)

Find the charge \( q = q(t) \) on the capacitor if \( E(t) \equiv 170V \), \( q(0) = 5.1C \), and \( q'(0) = 0 \). Please use **two ways** to find \( q(t) \):
Transcribed Image Text:### Problem 12 An LRC-series circuit has the following parameters: - \( L = \frac{1}{2}h \) - \( R = 30\Omega \) - \( C = \frac{1}{1700}f \) Find the charge \( q = q(t) \) on the capacitor if \( E(t) \equiv 170V \), \( q(0) = 5.1C \), and \( q'(0) = 0 \). Please use **two ways** to find \( q(t) \):
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