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For questions 10 through 12, you are considering the circuit diagram to the righ

ID: 1412634 • Letter: F

Question

For questions 10 through 12, you are considering the circuit diagram to the right, which is composed of three resistors and two batteries. There are also three points (a, b, and c) in the circuit you that you will be examining (these are just points in the wire and have no circuit elements at those locations). When referring to current in these questions, please note that we are always referring to conventional current. Assume all given values are known to two significant figures. What is the magnitude of the current at point a? 15 A. 0.50 A. 1.0 A. 0.67 A. 2.0 A. What is the power dissipated by the 8 Ohm resistor? 2.0 W. 3.6 W. 8.0 W. 18 W. 32 W. What is the voltage drop across the 4 Ohm resistor? 4.0 V. 2.7 V. 2.0 V. 5.0 V. 8.0 V.

Explanation / Answer

10)    Here,   18 = 20i1 + 8i2

                Also, 16 = 8i1 + 12i2

=> i1 = 0.5 A

=> current at point A = 0.50 A

11) power dissipated by 8 ohm resistor = 1.5 * 1.5 * 8

                                                                = 18 W

12) voltage drop across 4 ohm resistor = 1 * 4

                                                                 = 4 V