R3 Problem 5: An electric circuit consisting of wires, batteries, and resistors is shown. All currents have been labeled and assigned directions. -E2 {R4 R2 R1 Part (a) Which statement is a correct expression of Kirchhoff's Junction Rule for currents with labels and directions assigned on the above figure? MultipleChoice : 1) I + I2 - 13 = 0 2) I1 + I2 + I3 = 0 3) None of these choices make a correct statement of Kirchhoff's Junction Rule. 4) I1 - 12 -13 = 0 5) I1-I2 + I3 = 0 Part (b) Which statement is a correct expression of Kirchhoff's Loop Rule for the sum of voltage changes for the loop on the left? MultipleChoice : 1) IR1 + E1 - Eɛ2 + I2R2 = 0 2) -1R1 + E1 + ɛ2 + I2R2 = 0 3) None of these choices make a correct statement. 4) -I1R1 - E1 + E2 + I2R2 = 0 5) įR1-€1 + E2 - I2R2 = 0 Part (c) Which statement is a correct expression of Kirchhoff's Loop Rule for the sum of voltage changes for the loop on the right? MultipleChoice : 1) -I2R2 + E2 - I3R3 - I3R4 + Ɛ3 = 0 2) -I2R2 - €2 - I3R3 - I3R4 - E3 = 0 3) None of these choices make a correct statement. 4) -I2R2 - E2 + I3R3 + I3R4 + E3 = 0 5) -I2R2 - E2 - I3R3 - I3R4 + E3 = 0

The capacitor with capacitance C₁ initially carries a charge Q (see figure below). While, the capacitor with capacitance C₂ is initially uncharged. The switch S is closed at time t = 0, and the charges begin to flow in the circuit. Find the charge flown through the wires as a function of time, q(t). QC₁ A) (0) (1 - e-(C₁+C₂)t/RC₁C₂) C₁+C₂ B) (02₂) (1 - e-(C₁+C₂)t/RC₁C₂) C₁+C₂ QC₁ C₂ C) (043) (1 — e¯(C₁+C₂)t/RC₂C₂) D) Q(1 + e-(₁+₂)t/RC1C₂) E) None of the above. +Q C₁ R C₂

An electric circuit consisting of wires, batteries and resistors is shown. All currents have been labeled and assigned directions.   a.) Which statement is a correct expression of Kirchhoff's Junction Rule for currents with labels and directions assigned on the above figure?    I1 + I2 + I3 = 0       I1 - I2 + I3 = 0       None of these statements are correct.       I1 - I2 - I3 = 0       I1 + I2 - I3 = 0    b.) Which statement is a correct expression of Kirchhoff's Loop Rule for the sum of voltage changes for the large outer loop?     18.0 V - (80.0 Ω)I1 + 12.0 V + (50.0 Ω)I3 + (80.0 Ω)I3 = 0       18.0 V - (80.0 Ω)I1 - 12.0 V + (50.0 Ω)I3 + (80.0 Ω)I3 = 0       None of these statements are correct.       18.0 V - (80.0 Ω)I1 + 12.0 V - (50.0 Ω)I3 - (80.0 Ω)I3 = 0       -18.0 V - (80.0 Ω)I1 - 12.0 V + (50.0 Ω)I3 + (80.0 Ω)I3 = 0       18.0 V - (80.0 Ω)I1 - 12.0 V - (50.0 Ω)I3 - (80.0 Ω)I3 = 0