If a 4 ohms resistance wire is doubled, determine its new resistance.

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

Determine the Given Data

Initial resistance on the wire, R_i = 4 Ω

Assuming that the initial length of the wire = L_i.

As per the given equation, the final length of the wire L_f =2L_i

Consider area of the wire = A.

Consider the resistivity of the wire = ρ.

Consider final resistance of the wire = R_f.

Formula Used

We know that resistance is given as,

⇒ $R = \rho{{L} \over A}$

⇒ $\rho= {{RA} \over L}$

Calculation of New Resistance

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

$\rho = {{R_i A} \over L_i} = {{R_fA} \over L_f}$

⇒ ${{R_i} \over L_i} = {{R_f} \over L_f}$

Upon value substitution, we can get,

${{4} \over Li} = {{R_f} \over 2L_i}$

⇒ R_f= 8 $\Omega$

Therefore, the new resistance is 8$\Omega$.

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If a 4 ohms resistance wire is doubled, determine its new resistance.

Determine the Given Data

Formula Used

Calculation of New Resistance

Related Questions

CBSE CLASS XII Related Questions

3.
The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.

4.
Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

5.
The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.

Similar Physics Concepts

Comments

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If a 4 ohms resistance wire is doubled, determine its new resistance.

Determine the Given Data

Formula Used

Calculation of New Resistance

Related Questions

CBSE CLASS XII Related Questions

3.The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.

4.Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

5.The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

3.
The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.

4.
Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

5.
The resistance of a metal wire at \(20^\circ\text{C}\) is \(1.05\,\Omega\) and at \(100^\circ\text{C}\) is \(1.38\,\Omega\). Determine the temperature coefficient of resistivity of this metal.