A square frame of side 10   cm and a long straight wire carrying current 1   A are in the plane of the paper. Starting from close to the wire, the frame moves towards the right with a constant speed of 10   m   s - 1 (see figure). The e.m.f induced at the time the left arm of…

Question

A square frame of side 10 &#160; cm and a long straight wire carrying current 1 &#160; A are in the plane of the paper. Starting from close to the wire, the frame moves towards the right with a constant speed of 10 &#160; m &#160; s - 1 (see figure). The e.m.f induced at the time the left arm of the frame is at x = 10 &#160; cm from the wire is

Aicharya · Accepted Answer

d &#981; = &#956; 0 i 2 &#960; y a d y &#981; = &#956; 0 i a 2 &#960; &#8747; x x + a d y y = &#956; 0 i a 2 &#960; l n x + a - l n x E.m.f =- d &#981; d t = - &#956; 0 i a 2 &#960; 1 x + a d x d t - 1 x d x d t = &#956; 0 i a 2 &#960; a . v x x + a = &#956; 0 2 &#960; . i a 2 v x x + a = 2 &#215; 10 - 7 &#215; 1 &#215; 0.1 2 &#215; 10 0.1 &#215; 0.2 = 1 &#956; V Alternative method: Consider two sides which are perpendicular to the velocity as case of motional e.m.f. E = E 1 - E 2 = B 1 &#8211; B 2 V &#160; l = &#956; 0 I 2 &#960; 1 x - 1 x + a V &#160; l = 2 &#215; 10 - 7 &#215; 1 1 0.1 - 1 0.2 &#215; 10 &#215; 0.1 = 10 - 6 &#160; V = 1 &#160;&#956; V

A square frame of side 10   cm and a long straight wire carrying current 1   A are in the plane of…

Solution

A square frame of side 10 &#160; cm and a long straight wire carrying current 1 &#160; A are in the plane of…

Solution

A square frame of side 10 cm and a long straight wire carrying current 1 A are in the plane of…