A long straight wire carrying current $$I1$$ is placed in the plane of a ribbon carrying current $$I2$$ parallel to the wire. The width of ribbon is b. The straight conductor is placed at a distance a from the nearer edge of ribbon. Find the force of attraction per unit length between the two.

Question

Infinity Learn · Accepted Answer

Consider an elementary strip of width dx on the sheet at a distance x from the wire.Force on this element is, $$dF=$$μ$$0I12$$$$π$$x  $$I2dxTotal$$ force on unit length of sheet $$isF=$$ ∫$$aa+b$$  μ$$0I12$$$$π$$x $$I2dx$$ $$F=$$μ$$0I1I22$$π∫$$aa+b$$  $$1x$$ dx $$=$$μ$$0I1I22$$π  log $$a+bb$$

A long straight wire carrying current I₁ is placed in the plane of a ribbon carrying current I₂ parallel to the wire. The width of ribbon is b. The straight conductor is placed at a distance a from the nearer edge of ribbon. Find the force of attraction per unit length between the two.

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A long straight wire carrying current I1 is placed in the plane of a ribbon carrying current I2 parallel to the wire. The width of ribbon is b. The straight conductor is placed at a distance a from the nearer edge of ribbon. Find the force of attraction per unit length between the two.

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A long straight wire carrying current I₁ is placed in the plane of a ribbon carrying current I₂ parallel to the wire. The width of ribbon is b. The straight conductor is placed at a distance a from the nearer edge of ribbon. Find the force of attraction per unit length between the two.