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Problem 7 - Kirchhoff [12 points] In the figure the ideal batteries have emfs &₁ = 25 V and E2 = 20 V, and the resistance of all resistors is 5.0 £2. (a) [4 points] Write down the junction rule equation for junction and the loop rule for loop abcfa and loop fcdef. (b) [4 points] What is the current /? (c) [2 points] What is the current ? f (d) [2 points] Determine the potential difference V₁-V, between points d' and a in the circuit. www 50 www www 50 b C 7
Problem 6 [12 points] An EMF source with a 12 V voltage and a 2 12 internal resistance is connected to a 4.2 external resistor. An ideal voltmeter is also connected as shown. (a) [3 points] Determine the current in the circuit. (b) [2 points] Determine the voltage drop across the 42 resistor. (c) [2 points] Determine the potential difference measured by the voltmeter. (d) [3 points] Calculate the total power dissipated by both resistors in the circuit. (e) [2 points] Calculate the power provided by the 12 V emf to the circuit. 7-20, E-12V www R-40
Problem 5 [8 points] A copper wire has a circular cross section with a radius of 1 mm and length of 1 m. The resistivity of copper at room temperature is 1.68 x 10 m. (a) [2 points] Determine the resistance of the wire. (b) [2 points] If there is a difference of 10V between the ends of the wire, determine the current through it. (c) [2 points] Determine the current density in the wire. (d) [2 points] Determine the magnitude of the electric field in the wire.