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

Related Questions

CBSE CLASS XII Related Questions

1.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

3.
A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.

5.
This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?

Similar Physics Concepts

Comments

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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

1.Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

3.A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.

5.This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

3.
A student sets up the circuit as shown in the figure to find the value of unknown resistance X and records a set of readings of the voltmeter and the ammeter by using the rheostat.

5.
This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?