1) Two sources of emf ε1=52.7 V, and ε2=17.5 V are oriented as shownin the circuit. The resistances are R1=5.86 kΩ and R2=2.08 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.48 mA and I4=0.988 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 2.064E+01 V
b) 2.270E+01 V
c) 2.497E+01 V
d) 2.747E+01 V
e) 3.021E+01 V
2) In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301 V. If the combined external and internal resistance is 245 &Omega and the capacitance is 63 mF, how long will it take for the capacitor's voltage to reach 192.0 V?
a) 1.296E+01 s
b) 1.425E+01 s
c) 1.568E+01 s
d) 1.725E+01 s
e) 1.897E+01 s
3) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.2 Ω resistor. What is the voltage drop across the 10.2 Ω resistor?
