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Standard X

Physics

Magnetic Field Due to a Straight Current Carrying Conductor

Two long, thi...

Question

Two long, thin, parallel conductors separated by a distance carry currents $i_{1}$ and $i_{2}$ . The force per unit length on one of them is F. Then

F \propto (i_{1} i_{2})

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F \propto (i_{1} i_{2})^{2}

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F \propto \frac{1}{d^{2}}

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F \propto \frac{1}{d}

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Solution

The correct options are
A $F \propto (i_{1} i_{2})$
D $F \propto \frac{1}{d}$
The force per unit length on one conductor due to another conductor parallel to it and separated by a distance r, is
$F = \frac{μ_{0} (i_{1}) (i_{2})}{2 π r}$
Hence,
$F \propto i_{1} i_{2}$

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Two long, thin, parallel conductors separated by a distance carry currents i1 and i2. The force per unit length on one of them is F. Then

The correct options are A F∝(i1i2) D F∝1dThe force per unit length on one conductor due to another conductor parallel to it and separated by a distance r, isF=μ0(i1)(i2)2πrHence,F∝i1i2

Two long, thin, parallel conductors separated by a distance carry currents $i_{1}$ and $i_{2}$ . The force per unit length on one of them is F. Then

The correct options are
A $F \propto (i_{1} i_{2})$
D $F \propto \frac{1}{d}$
The force per unit length on one conductor due to another conductor parallel to it and separated by a distance r, is
$F = \frac{μ_{0} (i_{1}) (i_{2})}{2 π r}$
Hence,
$F \propto i_{1} i_{2}$