A thick current carrying cable of radius ' ' carries current I uniformly distributed across its cross-section. The variation of magnetic field due to the cable with the distance ' ' from the axis of the cable is represented by
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From Ampere's circuital law, magnetic field
If
Hence the correct magnetic field versus distance graph is as shown below.
In the product For and and What will be the complete expression for
A uniform conducting wire of length and resistance ' ' is wound up as a current carrying coil in the shape of, (i) an equilateral triangle of side ' '.
(ii) a square of side ' '.
The magnetic dipole moments of the coil in each case respectively are
and
Current in the loop equal for both loops.
Magnetic moment of equilateral triangle of side a
Similarly magnetic moment of square of side a
A long solenoid of radius has 100 turns per . If 1A current flows in the solenoid, the magnetic field strength at the centre of the solenoid is
Magnetic field
Given below are two statements:
Statement I: Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element(Idl) of a current carrying conductor only.
Statement II: Biot-Savart's law is analogous to Coulomb's inverse square law of change , with the former being related to the field produced by a scalar source, Idl while the latter being produced by a vector source, . In light of above statement choose the most appropriate answer from the options given below:
Both statement I and Statement II are incorrect
Statement I is correct and Statement II is incorrect
Statement I is incorrect and Statement II is correct
Both statement I and Statement II are correct.
Coulomb's law and universal law of gravitation are analogous to each other, whereas Biot-savart's law is different from the above two laws as it is used to calculate magnetic produced by vector source, Idl. so statement II is incorrect and statement I is correct.
From Ampere's circuital law for a long straight wire of circular cross-section carrying a steady current, the variation of magnetic field in the inside and outside region of the wire is:
a linearly increasing function of distance upto the boundary of the wire and then linearly decreasing for the outside region.
a linearly increasing function of distance upto the boundary of the wire and then decreasing one with dependence for the outside region.
a linearly decreasing function of distance upto the boundary of the wire and then a linearly increasing one for the outside region
uniform and remains constant for both the regions.
For point inside the long straight wire
For a point outside the wire
A very long conducting wire is bent in a semi-circular shape from to as shown in figure. The magnetic field at point for steady current configuration is given by
pointed into the page
pointed away from the page
pointed away from page
Magnetic.field due to wire .
Magnetic field due to wire III .
Magnetic field due to semiconductor arc .
Magnetic field due to wire I and II
Pointed away from page.
A wire carrying a current along the positive -axis has length is kept in a magnetic field . The magnitude of the magnetic force acting on the wire is
If the galvanometer does not show any deflection in the circuit shown, the value of is
given by
Given,
Magnetic Field, .
Magnetic force acting on a current carrying wire is
Magnitude of force,
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