Figure shows three identical bulbs A B and C connected to a battery of supply voltage V when the switch S is closed discuss the change in
a) The illuminations of the three bulbs
b) The power dissipated in the circuit.
Answers
Q]___?
When the switch is Open,
Vᴀ = Vʙ = Vᴄ = V/3
and
Pᴀ = Pʙ = Pᴄ = (V/3)^2/R = V^2/9R = P(say)
a)____
When the switch is closed, the bulb C is short circuited and hence there will be no current through C. So, Pc = 0
Vᴀ = Vʙ = V/2
Pᴀ = Pʙ = (V/2)^2/R = V^2/4R = 9/4 P
Therefore the intensity of illumination of each of the bulb A and B becomes 9/4 times the initial value but the intensity of the bulb C becomes Zero.
B)_____
The power dissipated in the circuit before closing the switch is
Pi = Pᴀ + Pʙ + Pc = 3P
The power dissipated in the circuit before closing the switch is
Pf = Pᴀ + Pʙ + Pc = 3P
The power dissipated after closing the switch is,
Pf = Pᴀ + Pʙ + Pc
= 9/4 P + 9/4 P + 0
= 9/2 P = 3/2 Pi
Thus, the power dissipated in the circuit becomes 3/2 times the initial value :)
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