A wire of length l carries a steady current. It is bent first to form a circular plane loop of one turn. The magnetic field at the centre of the loop is B. The same length is now bent more sharply to give a double loop of smaller radius. The magnetic field at the centre caused by the same is
A
B
B
2B
C
3B
D
4B
Text Solution
Verified by Experts
The correct Answer is:
D
`B_1=B=(mu_0 n_1 I)/(2r_1)=B` When same length is bent into 2 turns radius of coil is halved `B_2=(mu_0 n_2 I)/(2 r_2)=4(mu_0 I)/(2 r) = 4B` `(B_2)/(B_1)=(4B)/(B)=(4)/(1)` `B_2=4B_1=4B`.
Topper's Solved these Questions
MAGNETIC EFFECT OF ELECTRIC CURRENT
NIKITA PUBLICATION|Exercise MCQs (Sensitivity and accuracy of M.C.G.)|1 Videos
KINETIC THEORY OF GASES & RADIATION
NIKITA PUBLICATION|Exercise MCQs (Question Given in MHT-CET)|79 Videos
MAGNETISM
NIKITA PUBLICATION|Exercise MCQs|249 Videos
Similar Questions
Explore conceptually related problems
A length lof wire carries a steady current i. It is bent first to form a circular plane coil of one turn . The same length is now bent more sharply to give three loops of smaller radius . The magnetic field at the centre caused by the same current is
A square loop of side a carris a current I . The magnetic field at the centre of the loop is
A length of wire carries a steady current I. It is bent first to form a circular plane coil of one turn. The same length is now bent more sharply to give double loop of smaller radius. If the same current I is passed, the ratio of the magnitude of magnetic field at the centre with its first value is:
On meter length of wires carriers a constant current. The wire is bent to from 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 loop B . The same is now bent to form a circular loop of smaller radius of have four turns in the loop. The magnetic field at the centre of this new loop is
A length of wire carries a steady current. It is first bent to form a circular coil of one turn. The same length is now bent more sharply to give a loop of two turns of smaller radius. The magentic field at the centre caused by the same current now will be
A square loop of edge 'a' carries a current l. The magnetic field at the centre of loop is
NIKITA PUBLICATION-MAGNETIC EFFECT OF ELECTRIC CURRENT-MCQs (Sensitivity and accuracy of M.C.G.)