sp16-cvt-q4-sol - Information Technology University Lahore Quiz 4 Complex Variables and Transforms Friday 8 April 2016 Time:15 minutes Spring 2016

# sp16-cvt-q4-sol - Information Technology University Lahore...

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Information Technology University, Lahore Complex Variables and Transforms Quiz 4 Spring 2016 Friday, 8 April 2016 Time:15 minutes Maximum Marks: 10 Use blue or black ink only. Handwriting must be neat and legible; marks shall be deducted otherwise. Name Solution Roll Number 12345678 1. Consider the circuit shown in Figure 1. + - v ( t ) 10Ω 10mF Figure 1: Circuit for problem 1. The capacitor has no charge when the voltage source is switched on, and the voltage v ( t ) is given by, v ( t ) = ( 0 V t < 4 14 × 10 6 e - 3 t V t 4 Derive the expression for the current i ( t ) through the circuit using the Laplace transform. [10] Since we want to derive the expression for the cur- rent i ( t ) through the circuit, we apply KVL to the given circuit, assuming current to be in clockwise direction. 10 i ( t ) + 1 10 × 10 - 3 Z t 0 i ( t ) dt + v C (0) = v ( t ) We are given the there was no charge on the capaci- tor when the voltage source was switched on, hence v C (0) = 0, and the above equation is simplified.

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• Spring '16
• Irfan Iqbal
• Quiz 4 Solution

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