>
Exams
>
Physics
>
Magnetic Field
>
the magnetic field at the origin due to the curren
Question:
The magnetic field at the origin due to the current flowing in the wire shown is
Show Hint
Direction of magnetic field is obtained using the right-hand thumb rule.
BITSAT - 2010
BITSAT
Updated On:
Mar 18, 2026
-₀ I8π a(i+k)
₀ I2π a(i+k)
₀ I8π a(-i+k)
₀ I4π a√(2)(i-k)
Show Solution
Verified By Collegedunia
The Correct Option is
A
Solution and Explanation
Step 1:
Use Biot–Savart law for each straight segment.
Step 2:
Fields due to symmetric segments add vectorially.
Step 3:
Resultant field: B=-(₀ I)/(8π a)(i+k)
Download Solution in PDF
Was this answer helpful?
0
0
Top BITSAT Physics Questions
Two point charges
$-q$
and
$+ q$
are located at point's
$(0, 0, - a)$
and,
$(0, 0, a)$
respectively. The electric potential at a point
$(0, 9, z)$
, where
$z > a$
is
BITSAT - 2009
Physics
potential energy
View Solution
Which of the following must be known in order to determine the power output of an automobile?
BITSAT - 2012
Physics
Power
View Solution
A large drop of oil (density
$0.8 \,g / cm ^{3}$
and viscosity
$\eta_{0}$
) floats up through a column of another liquid (density
$1.2\, g / cm ^{3}$
and viscosity
$\eta_{L}$
). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
BITSAT - 2012
Physics
Pressure
View Solution
A body is projected vertically upwards at time
$ t = 0$
and it is seen at a height
$H$
at time
$t_1$
and
$t_2$
second during its flight. The maximum height attained is (
$g$
is acceleration due to gravity)
BITSAT - 2009
Physics
Projectile motion
View Solution
At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
BITSAT - 2006
Physics
Projectile motion
View Solution
View More Questions
Top BITSAT Magnetic Field Questions
The cyclotron frequency of an electron grating in a magnetic field of $1 \,T$ is approximately
BITSAT - 2007
Physics
Magnetic Field
View Solution
An infinitely long straight conductor is bent into the shape as shown below. It carries a current of
$I$
ampere and the radius of the circular loop is
$R$
metre. Then, the magnitude of magnetic induction at the centre of the circular loop is -
BITSAT - 2009
Physics
Magnetic Field
View Solution
A charged particle moving in a uniform magnetic field and losses
$4\%$
of its kinetic energy. The radius of curvature of its path changes by
BITSAT - 2015
Physics
Magnetic Field
View Solution
Two parallel conductors carry current in opposite directions as shown in figure. One conductor carries a current of $10.0\, A$. Point $C$ is a distance $\frac{d}{2}$ to the right of the $10.0\, A$ current. If $d =18\, cm$ and $I$ is adjusted so that the magnetic field at $C$ is zero, the value of the current $I$ is
BITSAT - 2013
Physics
Magnetic Field
View Solution
Two concentric coils of
$10$
turns each are placed in the same plane. Their radii are
$20\, cm$
and
$40\, cm$
and carry
$0.2\, A$
and
$0.3\, A$
. current respectively in opposite directions. The magnetic induction (in tesla) at the center is
BITSAT - 2008
Physics
Magnetic Field
View Solution
View More Questions
Top BITSAT Questions
Two point charges
$-q$
and
$+ q$
are located at point's
$(0, 0, - a)$
and,
$(0, 0, a)$
respectively. The electric potential at a point
$(0, 9, z)$
, where
$z > a$
is
BITSAT - 2009
potential energy
View Solution
Which of the following must be known in order to determine the power output of an automobile?
BITSAT - 2012
Power
View Solution
A large drop of oil (density
$0.8 \,g / cm ^{3}$
and viscosity
$\eta_{0}$
) floats up through a column of another liquid (density
$1.2\, g / cm ^{3}$
and viscosity
$\eta_{L}$
). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
BITSAT - 2012
Pressure
View Solution
A body is projected vertically upwards at time
$ t = 0$
and it is seen at a height
$H$
at time
$t_1$
and
$t_2$
second during its flight. The maximum height attained is (
$g$
is acceleration due to gravity)
BITSAT - 2009
Projectile motion
View Solution
At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
BITSAT - 2006
Projectile motion
View Solution
View More Questions