Question

Please read the instructions carefully before answering. Thank you.

6V

a) Find the voltage across each current source.

b) Find the current through each resistor.

c) Explain why there is not enough information to find the currents on the outside of the circuit. Do so by listing the unknowns and equations.

d) If you remove the wire between points b and c, how does the answer to parts a and b change and what are the currents in the other 3 outer wires? Likewise, if the wire between points c and d were removed (be sure to add back the wire between b and c), how would the answers to parts a and b change and what are the currents in the three outer wires?

e) Calculate the current in each wire via superposition, assuming that each of the outer wires have a small resistance equivalent to each other (this small resistance however will not influence the answer).

f) Solve part e using a different method.

Answer 1

dut igr 50. dra from the cincant, Va=&o= v=va. Apply Nood Andysis at hode va 2 + 3+ wat betra o va[ ] = 2-3 - . Var – 5.3846 & volts. A 2A C - 5.3846 vorto. YA-.3846 volts. +6 0.0769 Amps. va = 1.076 Amps. a, b, cand d and short 0 Because Am the outer nodes (incuited

bibo Apply Nodd Andysis at hoder lody QV vol sut 2-30 a + rato VO Yaz -5.3846 volts - 5.3&46 VOH " ZAT VA= ara s.3846 Vots. & ise - isan 0.0769 Amps a = 1.076 Amps / IS = 1.076 Amps isti abr X + va ЗА Apply Noad Andysis at node va 2-3+ wat watu dar – 5.3846 volts is a Cats - 0.0269A 5o = -a & 1.026 A "2A = a = SA= - = -5.3846 volts. = 5.3646 volta