A square loop of conducting wire is placed near a long straight current carrying wire as shown- Match the statements in column-I with the corresponding results in column-II- begin array - - Whine-Column I-Column IINHhlinea -If the magnitude of - current I - p - Induced - current in - -is increased-the loop will be clockwiselllhlineb-If the magnitude of - current I-q-Induced in the - is decreased-loop will be anticlockwiselllhlinec -If the loop is moved -r-wire will attract the loop l -away from the wire- Illhlined-If the loop is moved-s-wire will repel the loopllihline -t-Torque about center of mass - ofl -loop is zero due to magnetic forcelllhline end array A- A - s - B - r - C - r - D - sB- A-r- B-r- C-s- D-sC- A-s- B-r- C-r- D-sD- A - s - B - s - C - s - D - r

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Rotational EMF

A square loop...

Question

A square loop of conducting wire is placed near a long straight current carrying wire as shown. Match the statements in column-I with the corresponding results in column-II.

$\begin{matrix} C o l u m n I & C o l u m n I I (a) & I f t h e m a g n i t u d e o f c u r r e n t I & (p) & I n d u c e d c u r r e n t i n i s i n c r e a s e d & t h e l o o p w i l l b e c l o c k w i s e (b) & I f t h e m a g n i t u d e o f c u r r e n t I & (q) & I n d u c e d c u r r e n t i n t h e i s d e c r e a s e d & l o o p w i l l b e a n t i c l o c k w i s e (c) & I f t h e l o o p i s m o v e d & (r) & w i r e w i l l a t t r a c t t h e l o o p a w a y f r o m t h e w i r e (d) & I f t h e l o o p i s m o v e d & (s) & w i r e w i l l r e p e l t h e l o o p (t) & T o r q u e a b o u t c e n t e r o f m a s s o f l o o p i s z e r o d u e t o m a g n e t i c f o r c e \end{matrix}$

(A)-s; (B)-r; (C)-r; (D)-s

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(A)-r; (B)-r; (C)-s; (D)-s

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(A)-s; (B)-r; (C)-r; (D)-s

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(A)-s; (B)-s; (C)-s; (D)-r

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Solution

The correct option is C (A)-s; (B)-r; (C)-r; (D)-s
A) Due to current carrying wire, the magnetic field in loop will be inwards w.r.t the paper. As current is increased, magnetic flux associated with loop increases. So a current will be induced so as to decrease magnetic flux inside the loop. Hence induced current in the loop will be anticlockwise. The current in left side of loop shall be downwards and hence repelled by wire. The current in right side of loop is upwards and hence attracted by wire. Since left side of loop is nearer to wire, repulsive force will dominate. Hence wire will repel the loop
(B) Options in (B) will be opposite of that in (A)
(C) When the loop is moved away from wire, magnetic flux decreases in the loop. Hence the options for this case shall be same as in (B)
(D) When the loop is moved towards the wire, magnetic flux increases in the loop. Hence the options for this case shall be same as in (A)

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Similar questions

Q. A square loop is placed near a long straight current carrying wire as shown. Match the following two columns.

\begin{matrix} Column-I & Column-II (a) If current increased & (p) induced current in loop is clockwise (b) If current is decreased & (q) induced current in loop is anticlockwise (c) If loop is moved away from the wire & (r) wire will attract the loop (d) If loop is moved towards the wire & (s) wire will repel the loop \end{matrix}

Q. .

Table 1	Table 2
(a) If current is increased	(p) Induced current in loop is clockwise
(b) If current is decreased	(q) Induced current in loop is anticlockwise
(c) If loop is moved away from the wire	(r) Wire will attract the loop
(d) If loop is moved towards the wire	(s) wire will repel the loop

Q. A square loop of conducting wire is placed near a long straight current carrying wire as shown. Match the statements in column-I with the corresponding results in column-II.

\begin{matrix} Column-I & Column-II (A) If the magnitude of current I is increased & (P) Induced current in the loop will be clockwise (B) If the magnitude of current I is decreased & (Q) Induced current in the loop will be anticlockwise (C) If the loop is moved away from the wire & (R) wire will attract the loop (D) If the loop is moved towards the wire & (S) wire will repel the loop (T) Torque about centre of mass of loop is zero due to megnetic force \end{matrix}

Q. A square loop of uniform conducting wire is as shown in figure. A
current-I (in amperes) enters the loop from one end and leaves the loop from opposite end as shown in figure. The length of one side of square loop is l metre. The wire has uniform cross section area and uniform linear mass density. In four situations of Column-I, the loop is subjected to four different uniform and constant magnetic field. Under the conditions of column I, match the column-I with corresponding results of column-II. (

B_{0}

in column I is a positive non-zero constant).

\begin{matrix} C o l u m n I & C o l u m n I I (A) \to B = B_{0}^i i n t e l s a & (p) m a g n i t u d e o f n e t f o r c e o n l o o p i s \sqrt{2} B_{0} I l n e w t o n (B) \to B = B_{0}^i i n t e l s a & (Q) m a g n i t u d e o f n e t f o r c e o n l o o p i s z e r o (C) \to B = B_{0} (^i +^j) i n t e s l a & (R) m a g n i t u d e o f n e t t o r q u e o n l o o p a b o u t i t s c e n t r e i s z e r o (D) \to B = B_{0}^k i n t e s l a & (S) N e t f o r c e p e r p e n d i c u l a r t o t h e p l a n e o f l o o p \end{matrix}

A square loop of uniform conducting wire is as shown in figure. A current $I$ (in
amperes) enters the loop from one end and leaves the loop from opposite end as
shown in figure. The length of one side of square loop is $l$ meter. The wire has
uniform cross section area and uniform linear mass density. In four situations of
column-I, the loop is subjected to four different uniform and constant magnetic field.
Under the conditions of column I, match the column-I with corresponding results of
column-II. (in column I is a positive non-zero constant).

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