Resistance in meter bridge’s two arms are 5 ohms and R ohms. When resistance R is shunted with equal resistance, new balance point becomes 1.6l1. Calculate R.

Resistance can be defined as the measurement of opposition of current flow in an electrical circuit. Therefore, in order to determine the value of resistance (R), we need to:

Known resistance, R = 5Ω
Initial Unknown Resistance = RΩ
New Balancing Point, L = 1.6l1

Thus, R/L = S/100 − L … [1]

Here,

R = Known Resistance
S = Unknown Resistance

In the first stage, the balancing point is at l₁.

Now, after replacing the values as:

R = 5Ω and L = l₁ in equation [1], we can obtain,

⇒ 5/l₁ = S/100−l₁ … [2]

Now, after resistance R is shunted with equal resistance R, the resistance in that arm can be R₂

Then,

⇒ 5L = R/2/100−L … [3]

Replace the value of L1 in equation 3. We can obtain,

⇒ 5/1.6l₁ = R/2/100−1.6l1 … [4]

Hence, divide the given equation 2 by 4, in order to get,

1.6/2 = (100 − 1.6l1)/100 − l1

⇒ 160 − 1.6l1 = 200 − 3.2l1

⇒ 1.6l₁= 40

⇒ l₁= 401.6

= 25 cm

Replace l₁=25cm in the above equation 1, we get,

5/25 = R/100 − 25

⇒ R = 15Ω

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Resistance in meter bridge’s two arms are 5 ohms and R ohms. When resistance R is shunted with equal resistance, new balance point becomes 1.6l1. Calculate R.

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CBSE CLASS XII Related Questions

1.
A light copper ring is freely suspended by a light string. A bar magnet is held horizontally with its length along the axis of the ring. The magnet is moved towards the ring with its N pole facing the loop. What will happen to the ring and its position? Explain.

3.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

4.
Write any two features of nuclear forces.

5.
Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –

6.
Four independent waves are expressed as \[ (i)\; y_1=A_1\sin\omega t, \] \[ (ii)\; y_2=A_2\sin 2\omega t, \] \[ (iii)\; y_3=A_3\cos\omega t, \] \[ (iv)\; y_4=A_4\sin\left(\omega t+\frac{\pi}{3}\right) \] The interference between two of these waves is possible in

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Resistance in meter bridge’s two arms are 5 ohms and R ohms. When resistance R is shunted with equal resistance, new balance point becomes 1.6l1. Calculate R.

Related Questions

CBSE CLASS XII Related Questions

1.A light copper ring is freely suspended by a light string. A bar magnet is held horizontally with its length along the axis of the ring. The magnet is moved towards the ring with its N pole facing the loop. What will happen to the ring and its position? Explain.

3.Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

4. Write any two features of nuclear forces.

5.Two heaters rated as \((P_1,V)\) and \((P_2,V)\) are connected in series across a dc source of \(V/2\) volt. The power consumed by the combination will be –

6.Four independent waves are expressed as \[ (i)\; y_1=A_1\sin\omega t, \] \[ (ii)\; y_2=A_2\sin 2\omega t, \] \[ (iii)\; y_3=A_3\cos\omega t, \] \[ (iv)\; y_4=A_4\sin\left(\omega t+\frac{\pi}{3}\right) \] The interference between two of these waves is possible in

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Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
A light copper ring is freely suspended by a light string. A bar magnet is held horizontally with its length along the axis of the ring. The magnet is moved towards the ring with its N pole facing the loop. What will happen to the ring and its position? Explain.

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Four independent waves are expressed as \[ (i)\; y_1=A_1\sin\omega t, \] \[ (ii)\; y_2=A_2\sin 2\omega t, \] \[ (iii)\; y_3=A_3\cos\omega t, \] \[ (iv)\; y_4=A_4\sin\left(\omega t+\frac{\pi}{3}\right) \] The interference between two of these waves is possible in