DC Circuits Homework Set Problem 1. Assume that the batteries in the circuit below have negligible resistance. Find a) the current in the circuit In the space below, re-draw the circuit with a single equivalent resistance. Show the current i flowing in the clockwise direction. Traverse the loop in a clockwise direction starting at the negative pole of battery E2 and write the resulting equation in the space below. Perform algebraic manipulation and solve for i.DC Circuits Homework Set b) the power dissipated in each resistor Write an expression for the power dissipated in terms of the current flowing through a resistor of resistance R. Write the current flowing through each resistor below Write the power dissipated in each resistor below. c) the power of each battery, stating whether energy is supplied to or absorbed by it. In the space below, compare the EMF arrows of each battery with direction of the current flowing through them. Write an argument for each battery based on this as to whether energy is supplied or absorbed.DC Circuits Homework Set Problem 2. Find the current in each resistor and potential difference between a and b. Put E1= 6.0 V, E2 =5.0 V, E3=4.0 V, R1 =100 Ω and R2= 50 Ω In the space below, write the number of loops that will have to made to traverse every part of the circuit. Describe the location of each junction point. Draw the circuit with currents and the directions chosen.DC Circuits Homework Set Write the equations for the junctions. Perform the loops in clockwise directions. Write an equation for each loop below. Perform algebraic manipulation and solve for the currents below.DC Circuits Homework Set Perform a partial loop traversal, begin at point b (and assume a voltage Vb) and traverse to point a (at voltage Va). Solve for the potential difference Va-Vb.DC Circuits Homework Set Problem 3. A circuit containing five resistors connected to a battery with a 12.0 V emf is shown below. What are the total current and the current through each of the resistors? Redraw the circuit below by finding equivalent resistances for the 6 Ω/12Ω pair and 3 Ω/ 5Ω pair.DC Circuits Homework Set Redraw the circuit below by finding an equivalent resistance for the 6 Ω/12Ω equivalent and 4 Ω. Redraw the circuit below by finding an equivalent resistance for the two remaining parallel equivalent resistances. Calculate the current flowing through the single equivalent resistance.DC Circuits Homework Set Calculate the current flowing through the 3Ω/5Ω leg of the circuit. Write the current flowing through each resistor. Calculate the current flowing through the 6Ω/12Ω/4Ω leg of the circuit. Write the current flowing through the 4Ω resistor. Calculate the potential difference across the 4Ω resistor and subtract it from the total potential difference. Write these calculations below. With this resulting potential difference, calculate the current flowing in the 6 Ω and 12 Ω resistors.DC Circuits Homework Set Problem 4. Calculate the current through each ideal battery in the circuit below. Assume that R1= 1.00 Ω, R2= 2.0 Ω, E1=2.0 V and E2= E3= 4.0 V. Write the number of junctions in the space below. Redraw the circuit with 3 currents. i1 flows through E1 in a clockwise direction. i2 flows through E2 in clockwise direction and i3 flows through E3 in clockwise direction.DC Circuits Homework Set Write the equations for the currents at the junctions. Pick two loop paths and draw them on the circuit below. Write equations based on these loop paths below.DC Circuits Homework Set Perform algebraic manipulation and solve for the currents. a) Calculate Va-Vb. Traverse the loop between a and b and calculate the potential difference below.DC Circuits Homework