A uniform magnetic field B is in a cylindrical region (radius 10cm). A 80cm uniform wire with resistance 4.0 ohms is bent into a square frame and placed on one side along a diameter of the cylindrical region. Assuming magnetic field increases at a constant rate 0.010T/s, what is the current induced in the frame?

Assuming Magnetic field increases at a constant rate 0.010T/s, what is the current induced in the frame?

Centripetal force can be expressed as the net force that acts on an object in order to maintain its movement in a circular motion. As per Newton’s first law of motion, until and unless an external force is applied to an object, it is till then going to continue to move along a straight path. This is the case of centripetal force. Centripetal force can be defined as the force which maintains an object unchanged while it is travelling in a circular way, although it is not a basic force.

Electromagnetic force (EMF) can be defined as the force that exists in the universe.
The electromagnetic force (EMF) can be expressed as the physical interaction occuring when electrically charged particles contact with each other.
Electromagnetic force (EMF) is usually a composite of every magnetic and electrical force acting between charged particles.
The electromagnetic force can both attract and repel.

Current

Thus, as per the question, the following can be deduced:

r = 10cm
R = 4Ω
dB/ dt = 0.010T

Hence,

dϕ/dt = dB/ dt A

E = dϕ/dt = dB/dt A

= 0.01(πr²/2) = 0.01×3.15×0.01/2 = 1.57×10⁻⁴

Therefore, i = E/R = 1.57×10^-4/4 = 0.39×10⁻⁴

= 3.9×10⁻⁴A

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A uniform magnetic field B is in a cylindrical region (radius 10cm). A 80cm uniform wire with resistance 4.0 ohms is bent into a square frame and placed on one side along a diameter of the cylindrical region.

Assuming Magnetic field increases at a constant rate 0.010T/s, what is the current induced in the frame?

Related Questions

CBSE CLASS XII Related Questions

1.
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

2.
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:

3.
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 $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

6.
Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

A uniform magnetic field B is in a cylindrical region (radius 10cm). A 80cm uniform wire with resistance 4.0 ohms is bent into a square frame and placed on one side along a diameter of the cylindrical region.

Assuming Magnetic field increases at a constant rate 0.010T/s, what is the current induced in the frame?

Related Questions

CBSE CLASS XII Related Questions

1.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

2.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:

3.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 $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

6.Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be:

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
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

2.
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:

3.
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 $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

6.
Two point charges -Q and Q are located at points (d, 0) and (0, d) respectively, in x-y plane. The electric field E at the origin will be: