State Biot-Savart law. A current I flows in a conductor placed perpendicular to the plane of the paper. Indicate the direction of the magnetic field due to a small element $\vec{dl}$ at point P situated at a distance $\vec{r}$ from the the element as shown in the figure.

Solution

Biot-Savart law states that, the magnitude of magnetic field induction at a point due to a current element of length dl, carrying current I, at a point r from the element is given by

dB = \frac{μ_{0}}{4 π} . \frac{I dl \sin θ}{r^{2}}

Vector form :

|\vec{dB}| = \frac{μ_{0}}{4 π} . \frac{|dl \times I|}{r^{3}}

The direction of magnetic field

\vec{dB}

is perpendicular to the plane containing

\vec{dl}

and

\vec{r}

and, is directed inward.

Some More Questions From Moving Charges And Magnetism Chapter

Two moving coil meters, M₁ and M₂ have the following particulars:
R₁ = 10 Ω N₁ = 30,
A₁ = 3.6 x 10^–3 m², B₁ = 0.25 T
R₂ = 14 Ω; N₂ = 42,
A₂ = 1.8 x 10^–3 m², B₂ = 0.50 T
(The spring constants k are identical for the two meters).
Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M₂ and M_1.

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Moving Charges And Magnetism

State Biot-Savart law. A current I flows in a conductor placed perpendicular to the plane of the paper. Indicate the direction of the magnetic field due to a small element $\vec{dl}$ at point P situated at a distance $\vec{r}$ from the the element as shown in the figure.

Some More Questions From Moving Charges And Magnetism Chapter

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Moving Charges And Magnetism

State Biot-Savart law. A current I flows in a conductor placed perpendicular to the plane of the paper. Indicate the direction of the magnetic field due to a small element dl→ at point P situated at a distance r→ from the the element as shown in the figure.

Some More Questions From Moving Charges And Magnetism Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

State Biot-Savart law. A current I flows in a conductor placed perpendicular to the plane of the paper. Indicate the direction of the magnetic field due to a small element $\vec{dl}$ at point P situated at a distance $\vec{r}$ from the the element as shown in the figure.