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

Related Questions

Read Also:

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

CBSE CLASS XII Related Questions

1.
The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

\( \frac{q}{4 \pi \epsilon_0 l^2} \) pointing along MA
\( \frac{q}{\pi \epsilon_0 l^2} \) pointing along AM
\( \frac{q}{2 \pi \epsilon_0 l^2} \) pointing along AM
Zero

View Solution

2.
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

3.
If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

View Solution

4.
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

5.
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

6.
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

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.
The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

2.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

3.
If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

5.
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: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))

6.
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:

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.The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

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

3. If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

5.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: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))

6.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:

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

2.
Draw a circuit diagram of a full-wave rectifier using p-n junction diodes. Explain its working and show the input-output waveforms.

3.
If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.

5.
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: \( n_i = 1.5 \times 10^{16} \, \text{m}^{-3} \))

6.
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: