2) Consider the circuit below consisting of two nichrome wires in series 20 cm 3

Question

2) Consider the circuit below consisting of two nichrome wires in series 20 cm 30 cm a) If the battery voltage is 1.5V, determine the voltage across each of the nichrome wires. Explain. determine the voltage across each of the nichrome wires. Explain. c) Return to the original circuit. If the 20emuwire were replaced by a 40cm wire, determine the voltage across each of the nichrome wires. Explain. 3) Consider the circuit below. 60 cm 30 cm 60 cm a) If the battery voltage is 1.5V, determine the voltage across each of the nichrome wires. Explain. b) If a 30cm length of nierome wire were added the circuit as in the diagram below, 30 cm 60 cm 30 cm 60 cm would the voltage across resister A increase, decrease, or remain the same? Explain. (ii) would the voltage across resister B increase, decrease, or remain the same? Explain.

Explanation / Answer

2)

we know, R = rho*L/A

reistance is directly proportional to length

a) v1 = 1.5*20/(20+30)

= 0.6 volts (across 20 cm wire)

v2 = 1.5*30/(20+30)

= 0.9 volts (across 30 cm wire)

b)
v1 = 1.5*20/(20+40)

= 0.5 volts (across 20 cm wire)

v2 = 1.5*40/(20+40)

= 1 volts (across 40 cm wire)
c)

v1 = 1.5*40/(40+30)

= 0.857 volts (across 40 cm wire)

v2 = 1.5*30/(40+30)

= 0.643 volts (across 30 cm wire)

3)
a)
v1 = 1.5*30/(30+30)

= 0.75 volts (across 30 cm wire)

V2 = V3 = 0.75 volts (across 60 cm wires)

b)

i) increase

ii) decrease

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