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\(\Omega\).

Related Questions

Also Check:

Ohm’s Law – Important Topics
Potentiometer	Resistance Formula	Combination of Resistors
Static Electricity	Difference between AC and DC	Difference between kva and kw
Differences Between Acceleration and Velocity	Cells, emf, Internal Resistance	Unit of Specific Resistance
Wheatstone Bridge	Types of Current	Resistor Colour Codes
Difference Between Primary Cell and Secondary Cell	Electric Dipole	Permittivity And Permeability
Resistivity Temperature Dependence	Relation between kva and kw	Internal resistance formula
Ohm’s Law and its Limitations	Drift Velocity	Electromotive Force
Difference between air conditioning and refrigeration	Meter Bridge	Current Density
Relation between resistance and length	Uses of Resistor	Types of Resistors
Current Electricity	Ampere	Electrical Formula
Difference between RTD and thermocouple	Unit of Current	Power Of Alternating Current
Resistivity formula	Relation between power and resistance	Current density formula
Difference between earth and neutral	Carbon Resistor	Voltage divider formula
Difference between emf and voltage	Cells in Series and in Parallel	Circuit Diagram
Power transformers	NCERT Solutions Current Electricity	Derivation of Drift Velocity

CBSE CLASS XII Related Questions

1.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

attract with a force \( \frac{F}{2} \)
repel with a force \( \frac{F}{2} \)
repel with a force \( F \)
attract with a force \( F \)

View Solution

2.
Suppose a pure Si crystal has \( 5 \times 10^{28} \) atoms per \( \text{m}^3 \). It is doped with \( 5 \times 10^{22} \) atoms per \( \text{m}^3 \) of Arsenic. Calculate majority and minority carrier concentration in the doped silicon. (Given: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))

View Solution

3.
Write any two features of nuclear forces.

View Solution

4.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

View Solution

5.
Two thin lenses of focal length \( f_1 \) and \( f_2 \) are placed in contact with each other coaxially. Prove that the focal length \( f \) of the combination is given by \[ f = \frac{f_1 f_2}{f_1 + f_2}. \]

View Solution

6.
A long solenoid of length \( L \) and radius \( r_1 \) having \( N_1 \) turns is surrounded symmetrically by a coil of radius \( r_2 \, (r_2>r_1) \) having \( N_2 \) turns (\( N_2 \ll N_1 \)) around its mid-point. Derive an expression for the mutual inductance of solenoid and coil. Is \( M_{12} = M_{21} \) valid in this case?

View Solution

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

1.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

2.
Suppose a pure Si crystal has \( 5 \times 10^{28} \) atoms per \( \text{m}^3 \). It is doped with \( 5 \times 10^{22} \) atoms per \( \text{m}^3 \) of Arsenic. Calculate majority and minority carrier concentration in the doped silicon. (Given: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))

3.
Write any two features of nuclear forces.

4.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

5.
Two thin lenses of focal length \( f_1 \) and \( f_2 \) are placed in contact with each other coaxially. Prove that the focal length \( f \) of the combination is given by \[ f = \frac{f_1 f_2}{f_1 + f_2}. \]

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

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

1.Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

2.Suppose a pure Si crystal has \( 5 \times 10^{28} \) atoms per \( \text{m}^3 \). It is doped with \( 5 \times 10^{22} \) atoms per \( \text{m}^3 \) of Arsenic. Calculate majority and minority carrier concentration in the doped silicon. (Given: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))

3. Write any two features of nuclear forces.

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

5.Two thin lenses of focal length \( f_1 \) and \( f_2 \) are placed in contact with each other coaxially. Prove that the focal length \( f \) of the combination is given by \[ f = \frac{f_1 f_2}{f_1 + f_2}. \]

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

2.
Suppose a pure Si crystal has \( 5 \times 10^{28} \) atoms per \( \text{m}^3 \). It is doped with \( 5 \times 10^{22} \) atoms per \( \text{m}^3 \) of Arsenic. Calculate majority and minority carrier concentration in the doped silicon. (Given: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))

3.
Write any two features of nuclear forces.

4.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

5.
Two thin lenses of focal length \( f_1 \) and \( f_2 \) are placed in contact with each other coaxially. Prove that the focal length \( f \) of the combination is given by \[ f = \frac{f_1 f_2}{f_1 + f_2}. \]