Question:
A horizontal overhead powerline is at height of $4m$ from the ground and carries a current of $100\,A$ from east to west. The magnetic field directly below it on the ground is $\left(\mu_{0} = 4\pi \times10^{-7} Tm A^{-1}\right) $
A horizontal overhead powerline is at height of $4m$ from the ground and carries a current of $100\,A$ from east to west. The magnetic field directly below it on the ground is $\left(\mu_{0} = 4\pi \times10^{-7} Tm A^{-1}\right) $
Updated On: Jan 30, 2025
- $2.5 \times10^{-7} T $ southward
- $5 \times10^{-6} T $ northward
- $5 \times10^{-6} T $ southward
- $2.5 \times10^{-7} T $ northward
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The magnetic field $B = \frac{\mu_{0}}{4\pi} \frac{2I}{r}$
$ = 10^{-7} \times\frac{2\times100}{4} $
$= 5 \times10^{-6} T$
According to right hand palm rule, the magnetic field is directed towards south.
$ = 10^{-7} \times\frac{2\times100}{4} $
$= 5 \times10^{-6} T$
According to right hand palm rule, the magnetic field is directed towards south.
Was this answer helpful?
0
0
Top Questions on Magnetic Field Due To A Current Element, Biot-Savart Law
- A charged particle will continue to move in the same direction in a region, where \(E\) - Electric field, \(B\) - Magnetic field:
- KEAM - 2024
- Physics
- Magnetic Field Due To A Current Element, Biot-Savart Law
- For a straight wire carrying steady current in the vertically upward direction as shown below
- Assam CEE - 2024
- Physics
- Magnetic Field Due To A Current Element, Biot-Savart Law
- Two very long, straight, and insulated wires are kept at a 90° angle from each other in the x-y plane as shown in the figure. These wires carry equal currents of magnitude \( I \), whose directions are shown in the figure. The net magnetic field at point P will be:
- Assam CEE - 2024
- Physics
- Magnetic Field Due To A Current Element, Biot-Savart Law
- Two toroids with number of turns 400 and 200 have average radii respectively 30 cm and 60 cm. If they carry the same current, the ratio of magnetic fields in these two toroids is:
- AP EAMCET - 2024
- Physics
- Magnetic Field Due To A Current Element, Biot-Savart Law
- Three rings, each with equal radius \( r \), are placed mutually perpendicular to each other and each having centre at the origin of the coordinate system. If \( I \) is the current passing through each ring, the magnetic field value at the common centre is:
- AP EAMCET - 2024
- Physics
- Magnetic Field Due To A Current Element, Biot-Savart Law
View More Questions
Questions Asked in BITSAT exam
- A particle of mass \( 2 \) kg is on a smooth horizontal table and moves in a circular path of radius \( 0.6 \) m. The height of the table from the ground is \( 0.8 \) m. If the angular speed of the particle is \( 12 \) rad/s, the magnitude of its angular momentum about a point on the ground right under the center of the circle is:
- BITSAT - 2024
- General Principles and Processes of Isolation of Elements
Evaluate the following limit: $ \lim_{n \to \infty} \prod_{r=3}^n \frac{r^3 - 8}{r^3 + 8} $.
- BITSAT - 2024
- limits and derivatives
- Inside a solenoid of radius \( 0.5 \) m, the magnetic field is changing at a rate of \( 50 \times 10^{-6} \) T/s. The acceleration of an electron placed at a distance of \( 0.3 \) m from the axis of the solenoid will be:
- BITSAT - 2024
- thermal properties of matter
In the given cycle ABCDA, the heat required for an ideal monoatomic gas will be:
- BITSAT - 2024
- specific heat capacity
- If \( a, c, b \) are in GP, then the area of the triangle formed by the lines \( ax + by + c = 0 \) with the coordinate axes is equal to:
- BITSAT - 2024
- Vectors
View More Questions
Concepts Used:
Biot Savart Law
Biot-Savart’s law is an equation that gives the magnetic field produced due to a current-carrying segment. This segment is taken as a vector quantity known as the current element. In other words, Biot-Savart Law states that if a current carrying conductor of length dl produces a magnetic field dB, the force on another similar current-carrying conductor depends upon the size, orientation and length of the first current carrying element.
The equation of Biot-Savart law is given by,
\(dB = \frac{\mu_0}{4\pi} \frac{Idl sin \theta}{r^2}\)
Application of Biot Savart law
- Biot Savart law is used to evaluate magnetic response at the molecular or atomic level.
- It is used to assess the velocity in aerodynamic theory induced by the vortex line.
Importance of Biot-Savart Law
- Biot-Savart Law is exactly similar to Coulomb's law in electrostatics.
- Biot-Savart Law is relevant for very small conductors to carry current,
- For symmetrical current distribution, Biot-Savart Law is applicable.
For detailed derivation on Biot Savart Law, read more.