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$B_{1},$ $B_{2}$ and $B_{3}$ are three identical bulbs connected as shown in the figure. when all three bulbs glow, a current of $3 A$ is recorded by the ammeter. What will happens to the reading of $A_{1}$ , $A_{2}$ , $A_{3}$ and $A$ when the bulb $B_{2}$ gets fused?[283][284]

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Current reading in

A_{1}

will be non zero

Current reading in

A

will be less than

A_{1}

Current reading in

A_{1}

will be non zero and current reading in

A_{1}

and

A_{3}

will be the same[285][286]

All of the above

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Detailed Solution

B_{1},

B_{2}

and

B_{3}

are three identical bulbs connected as shown in figure. when all three bulbs glow, a current of

3 A

is recorded by the ammeter. When the bulb

B_{2}

gets fused[289][290] current reading in

A_{2}

will be zero and current reading in

A_{1}

and

A_{3}

will be the same[291][292].
When all three lamps are lit, the parallel combination will be resistant.
⇒

1 / R_{p} = 1 / R + 1 / R + 1 / R

\Rightarrow 3 / R

[293][294]
⇒

R_{p} = R / 3

Ammeter

A

reads

3 A

current So,
⇒

V = I R_{p}

⇒

4.5 = 3 {R / 3}_{}

⇒

R = 4.5 ohm

So, the resistance of each bulb

= 4.5 ohm

Now when the bulb

B_{2},

gets fused, the equivalent resistance of parallel combination of

B_{1}

and

B_{3}

is[295][296]
⇒

1 / R_{p} = 1 / R + 1 / R

⇒

1 / R_{p} = 2 / R

⇒

R_{p} = R / 2

Ammeter

A

reads now,
⇒

I' = V / R_{P}

= 4.5 / (R / 2)

⇒

I' = 2 A

Since the resistance of each arm is the same and potential difference is also the same, current divides them equally. So,

1 A

[297][298] current will pass through each bulb

B_{1}

and

B_{3}

.[299][300][301][302]
Therefore, the ammeter

A_{1}

and

A_{3}

reads

1 A

current while

A_{2}

[303][304]will read zero and

A

read

2 A

currents.

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B1, B2 and B3 are three identical bulbs connected as shown in the figure. when all three bulbs glow, a current of 3A is recorded by the ammeter. What will happens to the reading of A1, A2, A3 and A when the bulb B2 gets fused?[283][284]

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$B_{1},$ $B_{2}$ and $B_{3}$ are three identical bulbs connected as shown in the figure. when all three bulbs glow, a current of $3 A$ is recorded by the ammeter. What will happens to the reading of $A_{1}$ , $A_{2}$ , $A_{3}$ and $A$ when the bulb $B_{2}$ gets fused?[283][284]