State Biot-Savart's law in vector form expressing the magnetic field due to an element d l → carrying current I at a distance r → from the element. How will you find the direction of the magnetic field?

According to Biot-Savart's law , the magnetic field due to a current-carrying element d l → carrying current I at a point P at distance r → from it is given by d B → = μ 0 I 4 π . d l → × r → r 3 Here μ 0 is permittivity of free space. The direction of the magnetic field can be obtained by using Right-hand thumb rule or Maxwell's corkscrew rule. (i) Right-hand thumb rule: If we hold the straight conductor in the grip of our right hand in such a way that the extended thumb points in the direction of the current, then the direction of curl of fingers will give the direction of the magnetic field. (ii) Maxwell's corkscrew rule: If a right-handed screw is rotated along a wire so that it advances in the direction of current, then the direction in which the thumb rotates gives the direction of the magnetic field.

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New Simplified Physics (Vol 1) For Class 12>Chapter 4 - Magnetic Effect of Current>Text Based Exercises>Q 84

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A beam of $α$ particles projected along $+ x$ -axis experiences a force due to magnetic field along the $+ y$ -axis. What is the direction of the magnetic field?

Important Questions on Magnetic Effect of Current

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12th CBSE

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New Simplified Physics (Vol 1) For Class 12>Chapter 4 - Magnetic Effect of Current>Text Based Exercises>Q 85

A beam of electrons projected along $+ x$ -axis experiences a force due to a magnetic field along the $+ y$ -axis. What is the direction of the magnetic field?

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New Simplified Physics (Vol 1) For Class 12>Chapter 4 - Magnetic Effect of Current>Text Based Exercises>Q 86

A narrow stream, of protons and deuterons, having the same momentum values, enter a region of a uniform magnetic field directed perpendicular to their common direction of motion. What would be the ratio of the radii of the circular paths, described by the protons and deuterons?

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12th CBSE

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New Simplified Physics (Vol 1) For Class 12>Chapter 4 - Magnetic Effect of Current>Text Based Exercises>Q 87

A square coil, $O P Q R$ , of side a, carrying a current $I$ , is placed in the $Y - Z$ plane as shown in figure. Find the magnetic moment associated with this coil.

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