Question

5.6 cm В. 9.4 cm [833. The magnetic field through the rectangular loop shown in the figure changes according to the relation B(t)=(3200 - 15.1t) T with t in seconds. The resistance of the loop is 15.2 m2 Based on the above information circle the statement(s) that is (are) TRUE. Statements: (a) Att = 2.8 s the magnetic flux is decreasing. (b) Att 2.8s the magnetic flux is increasing. (c) Att=2.8s the induced current ind in the rectangular loop is non zero and is clockwise. (d) Att 2.8 s the induced current fins in the rectangular loop is non zero and is counterclockwise. (e) This problem is based on Faraday's law.

Answer 1

Correct statements are :

(a) At t = 2.8 s, the magnetic flux is decreasing.

(c) At t = 2.8 s, the induced current i_ind in the rectangular loop is non - zero and is clockwise.

(e) The problem is based on Faraday's law.

Solution :

5.6 em x 9.4 cm) Area of the loop (5.6 52-64 an? :5.264 x 10 m² So, rate of change of magnetic flux p=BA through the loop dt die (B9) [ 3200-15-44h JA 30.źZA d at So, at t=208 s, Since, dt is lelaldes do -(30.2 x2-8 * 5. at 5.264*10-3) v. -0.445.Y. to att = 2:85, the magnetic flux in decreasing According to the Faraday's lois, emf induced in the loop at = 285 0.44 5. Va love Hence, current induced = I a Resistance on, Is 0.445 15.2 moh 20.3 A Hence, induced current in non-zero. According to the tent's law, the induced current will try to oppose the field B, so, this current will low clockwise, so that the magnetic field induced can oppose B.