1.0 m rectangular loop with a sliding connector is in uniform magnetic field 2t perpendicular to plane of loop. Resistance is 2 ohms. Determine force.

Now, as per the question, the external force needed to keep connector moving with constant velocity equals 2ms−1. With the given data, we have to determine force.

Accoding to the question, the following can be said:

Resistance of Connector = 2Ω
Given Magnetic Field = 2t
Other Two Resistances = 6Ω and 3Ω (velocity of moving connector is 2ms⁻¹)

Now, in order to estimate the induced emf generated in the circuit, E = vBl

⇒ E = 2 × 2 × 1

⇒ E = 4V

Thus, after assuming the two resistances 6Ω and 3Ω because they’re parallelly connected, then the resultant resistance should be 2Ω.

Therefore, the value of I (current) that flows via the circuit is, I = 4/2 + 2, giving the value of 1 Ampere (flowing in a clockwise direction). Now, in order to estimate the magnetic force on the connector by using the formula:

F = ilB

After replacing the values, we get,

F = 1 × 1 × 2

⇒ F = 2N, (Thus, the direction of force is towards left).

Thus, it can be said that if we want to move our connector with a constant velocity, a force of 2N is needed to be applied.

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1.0 m rectangular loop with a sliding connector is in uniform magnetic field 2t perpendicular to plane of loop. Resistance is 2 ohms. Two resistances, 6 ohms and 3 ohms, are connected.

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Find the ratio $\dfrac{\lambda_\alpha}{\lambda_p}$ of the de Broglie wavelength $\lambda_\alpha$ associated with an alpha particle to the de Broglie wavelength $\lambda_p$ associated with a proton if both are moving with the same velocity.

2.
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.

3.
In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

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A rectangular loop of size 5 cm $\times$ 8 cm is lying in the $x$-$y$ plane in a uniform magnetic field $\vec{B} = (2.0\ \text{T})\hat{k}$. The total magnetic flux linked with the loop is:

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1.0 m rectangular loop with a sliding connector is in uniform magnetic field 2t perpendicular to plane of loop. Resistance is 2 ohms. Two resistances, 6 ohms and 3 ohms, are connected.

Related Questions

CBSE CLASS XII Related Questions

1.Find the ratio $\dfrac{\lambda_\alpha}{\lambda_p}$ of the de Broglie wavelength $\lambda_\alpha$ associated with an alpha particle to the de Broglie wavelength $\lambda_p$ associated with a proton if both are moving with the same velocity.

2.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.

3.In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

4.A rectangular loop of size 5 cm $\times$ 8 cm is lying in the $x$-$y$ plane in a uniform magnetic field $\vec{B} = (2.0\ \text{T})\hat{k}$. The total magnetic flux linked with the loop is:

5.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?

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Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Find the ratio $\dfrac{\lambda_\alpha}{\lambda_p}$ of the de Broglie wavelength $\lambda_\alpha$ associated with an alpha particle to the de Broglie wavelength $\lambda_p$ associated with a proton if both are moving with the same velocity.

2.
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.

3.
In a region, the electric potential varies as \(V = 10 - 50x\), where \(V\) is in volts and \(x\) is in meters. The electric field in the region is

4.
A rectangular loop of size 5 cm $\times$ 8 cm is lying in the $x$-$y$ plane in a uniform magnetic field $\vec{B} = (2.0\ \text{T})\hat{k}$. The total magnetic flux linked with the loop is:

5.
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?