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NEET
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Physics
Chapter
Magnetic Effects of Current

NEET · Physics · Magnetic Effects of Current

A long cylindrical wire of radius R carries a uniform current I...

A long cylindrical wire of radius RR carries a uniform current II flowing through it. The variation of magnetic field with distance rr from the axis of the wire is shown byA long cylindrical wire of radius R carries a uniform current I flowing through it. The variation of magnetic fieldA long cylindrical wire of radius R carries a uniform current I flowing through it. The variation of magnetic fieldA long cylindrical wire of radius R carries a uniform current I flowing through it. The variation of magnetic fieldA long cylindrical wire of radius R carries a uniform current I flowing through it. The variation of magnetic field

Options

  1. ATwo air-cored solenoids are designed to have the exact same self-inductance. The first solenoid has one-fourth the
  2. BTwo air-cored solenoids are designed to have the exact same self-inductance. The first solenoid has one-fourth the
  3. CTwo air-cored solenoids are designed to have the exact same self-inductance. The first solenoid has one-fourth the
  4. DTwo air-cored solenoids are designed to have the exact same self-inductance. The first solenoid has one-fourth the

Correct answer

C. Two air-cored solenoids are designed to have the exact same self-inductance. The first solenoid has one-fourth the

Step-by-step solution

Magnetic field due to long cylindrical wire of radius RR inside the cylinder at a distance r<Rr < RBin =μ02π⋅IrR2 [where, I= current ]∴Bin ∝r...(i)\begin{aligned} & B_{\text{in }} &\left.=\frac{\mu_{0}}{2 \pi} \cdot \frac{I r}{R^{2}} \quad \text{ [where, } I=\text{ current }\right] \\ \therefore \quad & B_{\text{in }} & \propto r ...(i) \end{aligned}$MagneticfieldoutsidethecurrentcarryingcylindricalwireofradiusMagnetic field outside the current carrying cylindrical wire of radiusRatadistanceat a distancer>Risgivenasis given asB_{\mathrm{out}}=\frac{\mu_{0} I}{2 \pi r}i.e.i.e.\quad B_{\text{out }} \propto \frac{1}{r}...(ii)FromEqs.(i)and(ii),graphbetweenFrom Eqs. (i) and (ii), graph betweenB and r$ drawn as
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