Questions in Moving Charges and Magnetism

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There are 50 turns of a wire in every cm length of a long solenoid. If 4 ampere current is flowing in the solenoid, the approximate value of magnetic field along its axis at an internal point and at one end will be respectively
A solenoid is $1.0$ metre long and it has $4250$ turns. If a current of $5.0$ ampere is flowing through it, what is the magnetic field at its centre$[{\mu _0} = 4\pi \times {10^{ - 7}}\,weber/amp - m]$
A vertical wire kept in Z-X plane carries a current from Q to P (see figure). The magnetic field due to current will have the direction at the origin O along Question Image
One metre length of wire carries a constant current. The wire is bent to form a circular loop. The magnetic field at the centre of this loop is B. The same is now bent to form a circular loop of smaller radius to have four turns in the loop. The magnetic field at the centre of this new loop is
In a hydrogen atom, an electron moves in a circular orbit of radius $5.2 \times {10^{ - 11}}\,m$ and produces a magnetic induction of $12.56 T$ at its nucleus. The current produced by the motion of the electron will be (Given ${\mu _0} = 4\pi \times {10^{ - 7}}\,Wb/A - m)$
An arc of a circle of radius R subtends an angle $\frac{\pi }{2}$ at the centre. It carries a current i. The magnetic field at the centre will be
At a distance of $10 cm$ from a long straight wire carrying current, the magnetic field is $0.04 T$. At the distance of $40 cm$, the magnetic field will be
A uniform wire is bent in the form of a circle of radius $R$. A current $I$ enters at $A$ and leaves at $C$ as shown in the figure. If the length ABC is half of the length ADC, the magnetic field at the centre $O$ will be Question Image
The magnetic induction at any point due to a long straight wire carrying a current is
The expression for magnetic induction inside a solenoid of length L carrying a current I and having N number of turns is

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