A 6 ohm resistance wire has been doubled via folding. Determine new resistance.

Resistance can be expressed as the ratio between the applied voltage to the current flowing through a circuit. The S.I. unit of resistance is Ohms (Ω).

Step 1: Read The Given Data

Initial resistance on wire, R_i = 6 Ω

Assume the initial length of wire as = L_i

If final length of the wire is, L_f= \( {{L_i} \over 2}\)

Assume the initial area = A_i

If the final area of the wire, A_f= 2A_i

Let the resistivity and final resistance of the wire be ρ and R_f respectively.

Step 2: Use of Formula

Resistance can be expressed as, \(R = \rho{{L} \over A}\)

Thus, \(\rho ={{RA} \over L}\)

Step 3: New Resistance Calculation

Since the resistivity of the wire remains the same in both, we can mention:

\(\rho = {{R_i A_i} \over L_i} = {{R_fA_f} \over L_f}\)

Upon value substitution, we can get,

\({{6A_i} \over Li} = {{4A_iR_f} \over L_i}\)

⇒ R_f= 1.5 \(\Omega\)

Thus, the new resistance is 1.5 \(\Omega\).

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A 6 ohm resistance wire has been doubled via folding. Determine new resistance.

Step 1: Read The Given Data

Step 2: Use of Formula

Step 3: New Resistance Calculation

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3.
Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

4.
A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of 60° in 0.2 s. The value of emf induced in the loop will be:

5.
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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A 6 ohm resistance wire has been doubled via folding. Determine new resistance.

Step 1: Read The Given Data

Step 2: Use of Formula

Step 3: New Resistance Calculation

Related Questions

CBSE CLASS XII Related Questions

2.What is displacement current (\( i_d \))? Considering the case of charging of a capacitor, show that \( i_d = \varepsilon_0 \frac{d\Phi_E}{dt} \). What is the value of \( i_d \) for a conductor across which a constant voltage is applied?

3. Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

4.A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of 60° in 0.2 s. The value of emf induced in the loop will be:

5.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

6.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 –

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
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3.
Draw the number of scattered particles versus the scattering angle graph for scattering of alpha particles by a thin foil. Write two important conclusions that can be drawn from this plot.

4.
A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of 60° in 0.2 s. The value of emf induced in the loop will be:

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