3) Consider the circuit in the diagram below. The bulbs are identical and all ha

Question

3) Consider the circuit in the diagram below. The bulbs are identical and all have resistance R maba a) Rank the current through the bulbs with the switch open. Explain your ranking. b) Rank the current through the bulbs with the switch closed. Explain your c) Rank the potential difference across the bulbs with the switch open. Explain d) Rank the potential difference across the bulbs with the switch closed. Explain e) If the battery voltage is 1.5V, what is the numerical value for the potential ranking your ranking. your ranking. difference across bulb C when the switch is open? Show your work and/or explain your reasoning.

Explanation / Answer

3) When the switch is open

Voltage across A = V

Voltage across D = Voltage across C = V'

Voltage across B = V - V'

now,

for identical bulbs

if current through A is i

current through B is 2i/3

current through C = D is i/3

hence

Ia > Ib > Ic = Id

b. when the switch is closed

Voltage across C = VOltage across D = 0

hecne A and B become in parallel

hence

Ia = Ib > Ic = Id

c. now, V = iR

hence

for same resistance V is proportional to current

hence

for porn switch

Va > Vb > Vc = Vd

d. from the logic of previous part

Va = Vb > Vc = Vd

e. for V = 1.5 V

Vc = Ic*R

Ic = i/3

now,

V = iR

hence

i = 1.5/R

hence

Vc = 1.5/3 =0.5 V

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