2010-11-Sem2-Exam

# 2010-11-Sem2-Exam - NATIONAL UNIVERSITY OF SINGAPORE PC1222...

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- 1 - NATIONAL UNIVERSITY OF SINGAPORE PC1222 Fundamentals of Physics II (Semester II: AY 2010-11) Time Allowed: 2 Hours INSTRUCTIONS TO CANDIDATES 1. This examination paper contains 9 questions. It comprises 6 printed pages. 2. Answer ALL the questions. 3. Answers to the questions are to be written in the answer books. 4. This is a CLOSED BOOK examination. An A4-paper help sheet is allowed. 5. The total mark is 100.

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- 2 - 1. In a certain region in space, there is a non-uniform electric field. The three components of the electric field are: E y = E z = 0, E x = E 0 e -x/d . d is a constant with the unit of length. Considering the cubic Gaussian surface in the figure, (a) What is the total outwards electric flux on this Gaussian surface? Express it by a formula with E 0 and d. (4 pts) (b) If E 0 = 80.0 N/C and d = 2.00 cm, what is the amount of charge inside the Gaussian surface? (3 pts) (c) Following (b), how many net electrons or protons exist in this cubic volume? (2 pts) x y z d d d d O
- 3 - 2. In the capacitor circuit shown in the figure, C 1 = 10.0 µ F, C 2 = C 3 = 5.00 µ F. (a) If we apply 100 V between A and B, what is the charge and voltage on C 2 ? (4 pts) (b) If an unknown voltage is applied between A and B, and we found that the voltage on C 1 is 20.0 V, what is the charge and voltage on C 3 ? (4 pts) (c) Following (b), what is the total electric energy stored in all the capacitors? (3 pts) C 1 C 2 C 3 A B

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## This note was uploaded on 11/30/2011 for the course EEE 1001 taught by Professor Phoon during the Spring '11 term at National University of Singapore.

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2010-11-Sem2-Exam - NATIONAL UNIVERSITY OF SINGAPORE PC1222...

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