Rods AB,BC,CD, & DA are joined to form a square loop having current ‘i’. Mass and length of each rod is m & $$/$$ respectively. This loop is situated in uniform magnetic field B→ as shown, and can rotate freely about axis $$p1p2$$ Match the following, if initially plane of the loop is parallel to magnetic $$field__$$ Angular acceleration of the loop at t $$=$$ $$0$$

Question

Rods AB,BC,CD, & DA are joined to form a square loop having current ‘i’. Mass and length of each rod is m & $$/$$ respectively. This loop is situated in uniform magnetic field B→ as shown, and can rotate freely about axis $$p1p2$$ Match the following, if initially plane of the loop is parallel to magnetic $$field__$$ Angular acceleration of the loop at t $$=$$ $$0$$

Infinity Learn · Accepted Answer

$$A)M$$→$$=il2k$$→ ⇒B→$$=Bi$$→ τ→$$=M$$→×B→ ⇒τ→$$=il2k$$→×Bi→$$=Bil2j$$→⇒$$IP1P2=I02=4ml232=2ml23$$ ⇒τ$$=I$$αα$$=$$τ$$I=Bil22ml23=3Bi2mB)$$ $$W=MB($$$$cos$$(90-30)-cos90) ⇒$$12I$$ω$$2=il2B12-0$$ ⇒$$122ml23$$ω$$2=il2B12-0$$ ⇒ω$$=3Bi2mC)$$τ$$=MBsin(90-60)=il2B2D)$$τ$$=MBsin(0)I$$α$$=MB(0)$$ α$$=0$$

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