The earth’s magnetic field at a given point is $0.5 \times {10^{ - 5}}\,Wb{\rm{ - }}{m^{ - 2}}$. This field is to be annulled by magnetic induction at the center of a circular conducting loop of radius $5.0\,cm$. The current required to be flown in the loop is nearly......$A$
A$0.2 $
B$0.4$
C$4$
D$40$
AIIMS 2003, Medium
Download our app for free and get started
B$0.4$
b (b) Magnetic field at the centre of circular loop
$B = \frac{{{\mu _0}}}{{4\pi }}\frac{{2\pi i}}{r} $
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
A galvanometer having a coil resistance $100 \;\Omega$ gives a full scale deflection when a current of $1 \;\mathrm{mA}$ is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of $10\; \mathrm{V} ?$......$k\Omega$
The resistance of a galvanometer is $50\,\Omega $ and it requires $2\,\mu A$ per two division deflection. The value of the shunt required in order to convert this galvanometer into ammeter of range $5\,A$ is (The number of divisions on the galvanometer scale on one side is $30$)
Two thick wires and two thin wires, all of the same materials and same length form a square in the three different ways $P$, $Q$ and $R$ as shown in fig with current connection shown, the magnetic field at the centre of the square is zero in cases
Due to $10\, ampere$ of current flowing in a circular coil of $10\, cm$ radius, the magnetic field produced at its centre is $3.14 \times {10^{ - 3}}\,Weber/{m^2}$. The number of turns in the coil will be
A small circular loop of conducting wire has radius $a$ and carries current $I$. It is placed in a uniform magnetic field $\mathrm{B}$ perpendicular to its plane such that when rotated slightly about its diameter and released, it starts performing simple harmonic motion of time period $T$. If the mass of the loop is $m$ then
A closely wound solenoid of $2000$ $turns$ and area of cross-section $1.5 \times 10^{-4}\ m^2$ carries a current of $2.0\, A.$ It is suspended through its centre and perpendicular to its length, allowing it to turn in a horizontal plane in a uniform magnetic field $5 \times 10^{- 2}$ $tesla$ making an angle of $30^o $ with the axis of the solenoid. The torque on the solenoid will be
An electric current passes through a long straight wire. At a distance $5\, cm$ from the wire, The magnetic field is $B$. The field at $20\, cm$ from the wire would be
A large current carrying plate is kept along $y-z$ plane with $k$ $amp$ current per unit length in the $+ve$ $y$ direction. Find the net force on the semi cricular current carrying looplying in the $x-y$ plane. Radius of loop is $R$, current is $i$ and centre is at $(d,0, 0)$ where $(d > R)$
Figure $A$ and $B$ shown two long straight wires of circular cross-section ($a$ and $b$ with $a$ $<$ $b$), carrying current $I$ which is uniformly distributed across the cross-section. The magnitude of magnetic field $B$ varies with radius $r$ and can be represented as