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Please explain the reasoning as well. Consider the following circuit. Rank the b

ID: 1433844 • Letter: P

Question

Please explain the reasoning as well.

Consider the following circuit. Rank the brightness of the bulbs. Explain your reasoning. If bulb B were removed from the circuit, would the current through bulb C increase, decrease or remain the same? Explain your reasoning. bulb D increase, decrease or remain the same? Explain your reasoning. the battery increase, decrease or remain the same? Explain your reasoning. If bulb B were removed from the circuit, would the potential difference across bulb C increase, decrease or remain the same? Explain your reasoning. bulb D increase, decrease or remain the same? Explain your reasoning. bulb A increase, decrease or remain the same? Explain your reasoning. the battery increase, decrease or remain the same? Explain your reasoning.

Explanation / Answer

a)

D >C >A = B

the resistance of bulb D is smaller than the resistance of combination of bulbs A, B and C. Hence current flowing through branch of D is greater as compared to that of branch contaning A, B and C. the current in bulb A and B divides equally as they are in parallel and have same resistance. hence A and B have equal brightness . the current in C is sum of current in A and B , hence current in C is greater than A and B and therefore C has greater brightness as compared to A or C .

b)

i)

decrease

As bulb B is removed , combined resistance of branch containing A, B and C will increases .as a result, it decrease the current in branch containing A, B and C .since as resistance increase , current decreases to have same constant voltage.

ii)

As bulb B is removed , the voltage across the bulb D does not change and remains equal to battery voltage . hence the current in bulb D remains same

iii)

The current in battery is combination of current in bulb D and Current in branch containing A, B and C. Since the current in D remains same and current in branch containing A,B,C decreases, hence current in battery decreases too.

c)

i)

the current in C decreases as the bulB B is removed . voltage is given as

V = iR

as i decreases , Voltage V decreases since resistance R remains constant

ii)

the bulb D is in parallel with the battery hence, the voltage across D remains same

iii)

since the current in branch containing A,B and C decreases , the current in bulb A decreases too

hence the potential difference across bulb A decrease

iv)

the battery Voltage remains same