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Magnetic Effect of Current

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What direction does the magnetic field show when the thumb is in the direction of the current and normal to the palm?

Perpendicular to the palm

What symbol represents a magnetic field directed perpendicular and out of the plane of the paper?

∙ (dot)

What is the unit of permeability of air in CGS?

dyne/ampere

If a coil of radius r has N turns, what is the magnetic field on its axis at a distance x from its centre?

<p>Baxis = μ0 2πNi/4π(x + r²)³/²</p> Signup and view all the answers

How does the magnetic field at the centre of a coil vary with the number of turns, if the current and radius are constant?

<p>Bcentre ∝ N</p> Signup and view all the answers

What is the direction of the magnetic field when the direction of current is reversed?

<p>It is changed</p> Signup and view all the answers

What is a current element in Biot-Savart's Law?

<p>The product of current and length of infinitesimally small segment of current carrying wire</p> Signup and view all the answers

What is the unit of permeability of air in S.I. system?

<p>Henry/meter</p> Signup and view all the answers

What is the expression for the magnetic field at a point 'P' due to a current element i dl?

<p>dB = μ0 i dl sin θ / 4π r^2</p> Signup and view all the answers

What is produced by a moving charge?

<p>Both electric and magnetic fields</p> Signup and view all the answers

What is the direction of the magnetic field created by a current element?

<p>Perpendicular to both the length element dl and the unit vector r̂</p> Signup and view all the answers

What is the formula for calculating the magnetic field dB using the Biot-Savart Law?

<p>dB = μ₀ × I × dl × r̂ / (4π r²)</p> Signup and view all the answers

What is the permeability of air in the Biot-Savart Law?

<p>μ₀</p> Signup and view all the answers

What is the direction of the magnetic lines of force according to Maxwell's cork screw rule?

<p>Direction of rotation of the thumb</p> Signup and view all the answers

What is the rule used to determine the direction of magnetic field for a current-carrying circular conductor?

<p>Right hand thumb rule of circular currents</p> Signup and view all the answers

What is the ratio of magnetic field at the centre of the coil and on its axis when x = ±a?

<p>2</p> Signup and view all the answers

What is the expression for the magnetic field at the centre of the coil when the number of turns and current are constant?

<p>B ∝ 1/r</p> Signup and view all the answers

What is the magnetic field on the axis of the coil at a very large distance from the centre?

<p>μ₀ Ni / 2πr²</p> Signup and view all the answers

What is the condition for the magnetic field at the centre of the coil to be equal to the magnetic field on its axis?

<p>x = ±r (n²/3 - 1)</p> Signup and view all the answers

What is the expression for the magnetic field at the centre of the coil when x = ±5a/3?

<p>Bc = 5/3 Ba</p> Signup and view all the answers

What is the direction of the magnetic field created by a current element with respect to the unit vector r̂?

<p>Perpendicular to r̂</p> Signup and view all the answers

What is the direction of the magnetic field at the centre of a coil with N turns, if the current and radius are constant?

<p>Proportional to the number of turns</p> Signup and view all the answers

A current element is placed in a region of uniform magnetic field. What is the direction of the force experienced by the current element?

<p>Perpendicular to both the magnetic field and the current element</p> Signup and view all the answers

A coil of radius r has N turns, and a current I flows through it. What is the direction of the magnetic field on its axis at a distance x from its centre?

<p>Along the axis of the coil</p> Signup and view all the answers

What is the physical quantity that is proportional to the product of the current and the length of the current element in the Biot-Savart Law?

<p>Magnetic field</p> Signup and view all the answers

What is the direction of the magnetic field at the centre of a coil if the current and radius are constant?

<p>It is proportional to the number of turns.</p> Signup and view all the answers

What is the magnetic field on the axis of a coil at a distance x from its centre?

<p>It is proportional to $mu_0 Ni / (x^2 + r^2)^{3/2}$</p> Signup and view all the answers

If the current in a coil is reversed, what happens to the direction of the magnetic field?

<p>It is reversed.</p> Signup and view all the answers

What is the expression for the magnetic field at the centre of a coil?

<p>B = $mu_0 Ni / 4 extbackslash pi r^2$</p> Signup and view all the answers

What is the direction of the magnetic field if the thumb is in the direction of the current and normal to the palm?

<p>It is perpendicular to the direction of the current.</p> Signup and view all the answers

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