Force between Current Carrying Wires
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII04:MOVING CHARGES AND MAGNETISM

362698 An infinite wire, placed along \({z}\)-axis, has current \({I_{I}}\) in positive \({z}\)-direction. A conducting rod \({P Q}\) placed in \({x y}\) plane parallel to \({y}\)-axis has current \({I_{2}}\) in positive \({y}\)-direction. The ends of the rod subtend angles \({30^{\circ}}\) and \({60^{\circ}}\) at the origin with positive \({x}\)-direction as shown in figure. The rod is at a distance \({a}\) from the origin. If the net force on the rod is found to be \({\dfrac{\mu_{0} I_{1} I_{2}}{4 \pi} \ln N}\), find the value of \({N}\).
supporting img

1 \(\frac{{{\mu _0}{I_1}{I_2}}}{{2\,\pi }}\,\,\ln \,\,3\)
2 \(\frac{{{\mu _0}{I_1}{I_2}}}{{4\,\pi }}\ln 3\)
3 \(\frac{{{\mu _0}{I_1}}}{{2\,\pi }}\ln 3\)
4 \(\frac{{{\mu _0}I}}{{4\,\pi }}\ln 3\)
PHXII04:MOVING CHARGES AND MAGNETISM

362699 Two wires \(A\) and \(B\) carry currents as shown in figure. The magnetic interactions
supporting img

1 Pull \(i_{2}\) closed to \(i_{1}\)
2 Turn \(i_{2}\) clockwise
3 Push \(i_{2}\) away from \(i_{1}\)
4 Turn \(i_{2}\) counter-clockwise
PHXII04:MOVING CHARGES AND MAGNETISM

362700 An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is \(a\) and distance of its centre from the wire is \(d(d>>a)\). If the loop applies a force \(F\) on the wire then
supporting img

1 \(F = 0\)
2 \(F \propto\left(\dfrac{a}{d}\right)\)
3 \(F \propto\left(\dfrac{a^{2}}{d^{3}}\right)\)
4 \(F \propto {\left( {\frac{a}{{\;d}}} \right)^2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362701 Three infinite straight wires \(A, B\) and \(C\) carry currents as shown. The net force on the wire \(B\) is directed
supporting img

1 Normal to plane of paper
2 Towards \(C\)
3 Zero
4 Towards \(A\)
PHXII04:MOVING CHARGES AND MAGNETISM

362698 An infinite wire, placed along \({z}\)-axis, has current \({I_{I}}\) in positive \({z}\)-direction. A conducting rod \({P Q}\) placed in \({x y}\) plane parallel to \({y}\)-axis has current \({I_{2}}\) in positive \({y}\)-direction. The ends of the rod subtend angles \({30^{\circ}}\) and \({60^{\circ}}\) at the origin with positive \({x}\)-direction as shown in figure. The rod is at a distance \({a}\) from the origin. If the net force on the rod is found to be \({\dfrac{\mu_{0} I_{1} I_{2}}{4 \pi} \ln N}\), find the value of \({N}\).
supporting img

1 \(\frac{{{\mu _0}{I_1}{I_2}}}{{2\,\pi }}\,\,\ln \,\,3\)
2 \(\frac{{{\mu _0}{I_1}{I_2}}}{{4\,\pi }}\ln 3\)
3 \(\frac{{{\mu _0}{I_1}}}{{2\,\pi }}\ln 3\)
4 \(\frac{{{\mu _0}I}}{{4\,\pi }}\ln 3\)
PHXII04:MOVING CHARGES AND MAGNETISM

362699 Two wires \(A\) and \(B\) carry currents as shown in figure. The magnetic interactions
supporting img

1 Pull \(i_{2}\) closed to \(i_{1}\)
2 Turn \(i_{2}\) clockwise
3 Push \(i_{2}\) away from \(i_{1}\)
4 Turn \(i_{2}\) counter-clockwise
PHXII04:MOVING CHARGES AND MAGNETISM

362700 An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is \(a\) and distance of its centre from the wire is \(d(d>>a)\). If the loop applies a force \(F\) on the wire then
supporting img

1 \(F = 0\)
2 \(F \propto\left(\dfrac{a}{d}\right)\)
3 \(F \propto\left(\dfrac{a^{2}}{d^{3}}\right)\)
4 \(F \propto {\left( {\frac{a}{{\;d}}} \right)^2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362701 Three infinite straight wires \(A, B\) and \(C\) carry currents as shown. The net force on the wire \(B\) is directed
supporting img

1 Normal to plane of paper
2 Towards \(C\)
3 Zero
4 Towards \(A\)
PHXII04:MOVING CHARGES AND MAGNETISM

362698 An infinite wire, placed along \({z}\)-axis, has current \({I_{I}}\) in positive \({z}\)-direction. A conducting rod \({P Q}\) placed in \({x y}\) plane parallel to \({y}\)-axis has current \({I_{2}}\) in positive \({y}\)-direction. The ends of the rod subtend angles \({30^{\circ}}\) and \({60^{\circ}}\) at the origin with positive \({x}\)-direction as shown in figure. The rod is at a distance \({a}\) from the origin. If the net force on the rod is found to be \({\dfrac{\mu_{0} I_{1} I_{2}}{4 \pi} \ln N}\), find the value of \({N}\).
supporting img

1 \(\frac{{{\mu _0}{I_1}{I_2}}}{{2\,\pi }}\,\,\ln \,\,3\)
2 \(\frac{{{\mu _0}{I_1}{I_2}}}{{4\,\pi }}\ln 3\)
3 \(\frac{{{\mu _0}{I_1}}}{{2\,\pi }}\ln 3\)
4 \(\frac{{{\mu _0}I}}{{4\,\pi }}\ln 3\)
PHXII04:MOVING CHARGES AND MAGNETISM

362699 Two wires \(A\) and \(B\) carry currents as shown in figure. The magnetic interactions
supporting img

1 Pull \(i_{2}\) closed to \(i_{1}\)
2 Turn \(i_{2}\) clockwise
3 Push \(i_{2}\) away from \(i_{1}\)
4 Turn \(i_{2}\) counter-clockwise
PHXII04:MOVING CHARGES AND MAGNETISM

362700 An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is \(a\) and distance of its centre from the wire is \(d(d>>a)\). If the loop applies a force \(F\) on the wire then
supporting img

1 \(F = 0\)
2 \(F \propto\left(\dfrac{a}{d}\right)\)
3 \(F \propto\left(\dfrac{a^{2}}{d^{3}}\right)\)
4 \(F \propto {\left( {\frac{a}{{\;d}}} \right)^2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362701 Three infinite straight wires \(A, B\) and \(C\) carry currents as shown. The net force on the wire \(B\) is directed
supporting img

1 Normal to plane of paper
2 Towards \(C\)
3 Zero
4 Towards \(A\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII04:MOVING CHARGES AND MAGNETISM

362698 An infinite wire, placed along \({z}\)-axis, has current \({I_{I}}\) in positive \({z}\)-direction. A conducting rod \({P Q}\) placed in \({x y}\) plane parallel to \({y}\)-axis has current \({I_{2}}\) in positive \({y}\)-direction. The ends of the rod subtend angles \({30^{\circ}}\) and \({60^{\circ}}\) at the origin with positive \({x}\)-direction as shown in figure. The rod is at a distance \({a}\) from the origin. If the net force on the rod is found to be \({\dfrac{\mu_{0} I_{1} I_{2}}{4 \pi} \ln N}\), find the value of \({N}\).
supporting img

1 \(\frac{{{\mu _0}{I_1}{I_2}}}{{2\,\pi }}\,\,\ln \,\,3\)
2 \(\frac{{{\mu _0}{I_1}{I_2}}}{{4\,\pi }}\ln 3\)
3 \(\frac{{{\mu _0}{I_1}}}{{2\,\pi }}\ln 3\)
4 \(\frac{{{\mu _0}I}}{{4\,\pi }}\ln 3\)
PHXII04:MOVING CHARGES AND MAGNETISM

362699 Two wires \(A\) and \(B\) carry currents as shown in figure. The magnetic interactions
supporting img

1 Pull \(i_{2}\) closed to \(i_{1}\)
2 Turn \(i_{2}\) clockwise
3 Push \(i_{2}\) away from \(i_{1}\)
4 Turn \(i_{2}\) counter-clockwise
PHXII04:MOVING CHARGES AND MAGNETISM

362700 An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The radius of the loop is \(a\) and distance of its centre from the wire is \(d(d>>a)\). If the loop applies a force \(F\) on the wire then
supporting img

1 \(F = 0\)
2 \(F \propto\left(\dfrac{a}{d}\right)\)
3 \(F \propto\left(\dfrac{a^{2}}{d^{3}}\right)\)
4 \(F \propto {\left( {\frac{a}{{\;d}}} \right)^2}\)
PHXII04:MOVING CHARGES AND MAGNETISM

362701 Three infinite straight wires \(A, B\) and \(C\) carry currents as shown. The net force on the wire \(B\) is directed
supporting img

1 Normal to plane of paper
2 Towards \(C\)
3 Zero
4 Towards \(A\)