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A long solenoid is carrying a time dependent current such that the magnetic field inside has the form B() = B,r'k, where k is along the axis of the solenoid. The displacement current at the point P on a circle of radiusr in a plane perpendicular to the axis (a) is inversely proportional to r and radially outward (b) is inversely proportional to r and tangentiall. S.: (b) B Can you explain how this answer arrives?
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A long solenoid is carrying a time dependent current such that the mag...
Displacement Current in a Solenoid
Introduction:
A solenoid is a long coil of wire wound tightly in the form of a helix. When a current passes through the solenoid, it generates a magnetic field inside. The displacement current is a concept introduced by Maxwell's equations to account for changing electric fields that behave like a current. In this question, we are given a solenoid carrying a time-dependent current with a specific magnetic field profile. We need to determine the nature of the displacement current at a point on a circle of radius r in a plane perpendicular to the solenoid's axis.
Given Information:
- Magnetic field inside the solenoid has the form B() = B,r'k
- The displacement current at point P on a circle of radius r is to be determined
Explanation:
To understand the nature of the displacement current at point P, we need to analyze the magnetic field inside the solenoid. Let's break down the problem step by step:
1. Magnetic Field inside the Solenoid:
- The magnetic field inside the solenoid is given as B() = B,r'k, where k is along the axis of the solenoid.
- This means that the magnetic field is constant and independent of the position inside the solenoid.
- The field points in the positive r' direction (radially outward) with a magnitude B.
2. Displacement Current:
- Displacement current is a concept introduced by Maxwell's equations to account for changing electric fields that behave like a current.
- It is defined as the rate of change of electric flux through a surface with respect to time.
- In this case, we are considering a point P on a circle of radius r in a plane perpendicular to the solenoid's axis.
3. Nature of the Displacement Current at Point P:
- Since the magnetic field inside the solenoid is constant, there is no changing magnetic field passing through the circle of radius r.
- As a result, the rate of change of electric flux through the circle is zero.
- According to Maxwell's equations, the displacement current is proportional to the rate of change of electric flux.
- Since the rate of change of electric flux is zero, the displacement current at point P is also zero.
Conclusion:
The displacement current at the point P on a circle of radius r in a plane perpendicular to the solenoid's axis is zero.
Introduction:
A solenoid is a long coil of wire wound tightly in the form of a helix. When a current passes through the solenoid, it generates a magnetic field inside. The displacement current is a concept introduced by Maxwell's equations to account for changing electric fields that behave like a current. In this question, we are given a solenoid carrying a time-dependent current with a specific magnetic field profile. We need to determine the nature of the displacement current at a point on a circle of radius r in a plane perpendicular to the solenoid's axis.
Given Information:
- Magnetic field inside the solenoid has the form B() = B,r'k
- The displacement current at point P on a circle of radius r is to be determined
Explanation:
To understand the nature of the displacement current at point P, we need to analyze the magnetic field inside the solenoid. Let's break down the problem step by step:
1. Magnetic Field inside the Solenoid:
- The magnetic field inside the solenoid is given as B() = B,r'k, where k is along the axis of the solenoid.
- This means that the magnetic field is constant and independent of the position inside the solenoid.
- The field points in the positive r' direction (radially outward) with a magnitude B.
2. Displacement Current:
- Displacement current is a concept introduced by Maxwell's equations to account for changing electric fields that behave like a current.
- It is defined as the rate of change of electric flux through a surface with respect to time.
- In this case, we are considering a point P on a circle of radius r in a plane perpendicular to the solenoid's axis.
3. Nature of the Displacement Current at Point P:
- Since the magnetic field inside the solenoid is constant, there is no changing magnetic field passing through the circle of radius r.
- As a result, the rate of change of electric flux through the circle is zero.
- According to Maxwell's equations, the displacement current is proportional to the rate of change of electric flux.
- Since the rate of change of electric flux is zero, the displacement current at point P is also zero.
Conclusion:
The displacement current at the point P on a circle of radius r in a plane perpendicular to the solenoid's axis is zero.
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A long solenoid is carrying a time dependent current such that the magnetic field inside has the form B() = B,r'k, where k is along the axis of the solenoid. The displacement current at the point P on a circle of radiusr in a plane perpendicular to the axis (a) is inversely proportional to r and radially outward (b) is inversely proportional to r and tangentiall. S.: (b) B Can you explain how this answer arrives?
Question Description
A long solenoid is carrying a time dependent current such that the magnetic field inside has the form B() = B,r'k, where k is along the axis of the solenoid. The displacement current at the point P on a circle of radiusr in a plane perpendicular to the axis (a) is inversely proportional to r and radially outward (b) is inversely proportional to r and tangentiall. S.: (b) B Can you explain how this answer arrives? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A long solenoid is carrying a time dependent current such that the magnetic field inside has the form B() = B,r'k, where k is along the axis of the solenoid. The displacement current at the point P on a circle of radiusr in a plane perpendicular to the axis (a) is inversely proportional to r and radially outward (b) is inversely proportional to r and tangentiall. S.: (b) B Can you explain how this answer arrives? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A long solenoid is carrying a time dependent current such that the magnetic field inside has the form B() = B,r'k, where k is along the axis of the solenoid. The displacement current at the point P on a circle of radiusr in a plane perpendicular to the axis (a) is inversely proportional to r and radially outward (b) is inversely proportional to r and tangentiall. S.: (b) B Can you explain how this answer arrives?.
A long solenoid is carrying a time dependent current such that the magnetic field inside has the form B() = B,r'k, where k is along the axis of the solenoid. The displacement current at the point P on a circle of radiusr in a plane perpendicular to the axis (a) is inversely proportional to r and radially outward (b) is inversely proportional to r and tangentiall. S.: (b) B Can you explain how this answer arrives? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A long solenoid is carrying a time dependent current such that the magnetic field inside has the form B() = B,r'k, where k is along the axis of the solenoid. The displacement current at the point P on a circle of radiusr in a plane perpendicular to the axis (a) is inversely proportional to r and radially outward (b) is inversely proportional to r and tangentiall. S.: (b) B Can you explain how this answer arrives? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A long solenoid is carrying a time dependent current such that the magnetic field inside has the form B() = B,r'k, where k is along the axis of the solenoid. The displacement current at the point P on a circle of radiusr in a plane perpendicular to the axis (a) is inversely proportional to r and radially outward (b) is inversely proportional to r and tangentiall. S.: (b) B Can you explain how this answer arrives?.
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