Give two different properties of a current-carrying coil and state Ampere's suggestion.

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(N/A) current-carrying coil exhibits the following properties:
$(1)$ It produces a magnetic field and behaves like a magnetic dipole at large distances.
$(2)$ It experiences a torque when placed in an external magnetic field,similar to a magnetic needle.
- Based on these observations,Ampere suggested that all magnetism is due to circulating currents.
- This hypothesis is partially correct,as no magnetic monopoles have been observed to date.
- However,elementary particles like electrons and protons possess an intrinsic magnetic moment that cannot be explained solely by circulating currents.

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Two long parallel wires $X$ and $Y$,separated by a distance of $6 \text{ cm}$,carry currents of $5 \text{ A}$ and $4 \text{ A}$,respectively,in opposite directions as shown in the figure. The magnitude of the resultant magnetic field at point $P$,which is at a distance of $4 \text{ cm}$ from wire $Y$,is $x \times 10^{-5} \text{ T}$. The value of $x$ is . . . . . . .
Take the permeability of free space as $\mu_0 = 4\pi \times 10^{-7} \text{ SI units}$.

Find the magnetic field due to a semi-infinite length wire at point $P$ as shown in the figure.

The magnetic field intensity at the centre of a circular wire of radius $0.1 \,m$ carrying a current of $0.2 \,A$ is:

$A$ long straight wire, carrying current $I,$ is bent at its midpoint to form an angle of $45^{\circ}.$ The magnetic field induction at point $P,$ at a distance $R$ from the point of bending, is equal to:

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The magnetic field due to a current-carrying circular loop of radius $6 \ cm$ at a point on the axis at a distance of $8 \ cm$ from the centre is $216 \ \mu T$. Then the magnetic field at the centre of the ring is $\dots \ \mu T$.

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