Question
The figure shows three infinitely long straight parallel current carrying conductors. Find the:
  1. Magnitude and direction of the net magnetic field at point A lying on conductor 1.
  2. Magnetic force on conductor 2.

Answer

  1. $B_2=\frac{\mu_0}{4\pi}\frac{2(3I)}{r}=\frac{\mu_0}{4\pi}\big(\frac{6I}{r}\big)$into the plane of the paper/$(\otimes)$.

$B_3=\frac{\mu_0}{4\pi}\frac{2(4I)}{3r}=\frac{\mu_0}{4\pi}\big(\frac{8I}{3r}\big)$out of the plane of the paper/$(\bigodot)$.

$B_A=B_2-B_3$ into the paper.

$=\frac{\mu_0}{4\pi}\Big(\frac{10I}{3r}\Big) into\text{ }the\text{ }paper.\text{} (\otimes)$

  1. $F_{21}=\frac{\mu_0}{4\pi}\frac{2I(3I)}{r}$ away from wire1 (/towards 3)

$F_{23}=\frac{\mu_0}{4\pi}\frac{2(3I)(4I)}{2r}$ away from wire 3 (towards 1)

$F_{\text{net}}=F_{23}-F_{21}$ towards wire1

$=\frac{\mu_0}{4\pi}\frac{6(I)^2}{r}$ towards wire1

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Explain the failure of wave-theory to explain the photoelectric effect.
  1. Define mutual inductance.
  2. A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5 s, what is the change of flux linkage with the other coil?
Explain the following:
  1. In the active state of the transistor, the emitter base junction acts as a low resistance while base collection region acts as high resistance.
  2. Output characteristics are controlled by the input characteristics in common emitter transistor amplifier.
  3. EDs are made of compound semiconductor and not by elemental semiconductors.
The force of surface tension acts tangentially to the surface whereas the force due to air pressure acts perpendicularly on the surface. How is then the force due to excess pressure inside a bubble balanced by the force due to the surface tension?
Equal masses of air are sealed in two vessels, one of volume V0 and the other of volume 2V0. If the first vessel is maintained at a temperature 300K and the other at 600K, find the ratio of the pressures in the two vessels.
A charge of +2.0 × 10-8C is placed on the positive plate and a charge of -1.0 × 10-8C on the negative plate of a parallel-plate capacitor of capacitance $1.2\times10^{-3}\mu\text{F}.$ Calculate the potential difference developed between the plates.
The Q-value of a nuclear reaction A + b → C + d is defined by
$Q =\left[m_{ A }+m_b-m_{ C }-m_d\right] c^2$
where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reactions and state whether the reactions are exothermic or endothermic :
(i) ${ }_1^1 H +{ }_1^3 H \rightarrow{ }_1^2 H +{ }_1^2 H$
(ii) ${ }_6^{12} C +{ }_6^{12} C \rightarrow{ }_{10}^{20} Ne +{ }_2^4 He$
Atomic masses are given to be
$\begin{array}{l} m \left({ }_1^2 H \right)=2.014102 u \\ m\left({ }_1^3 H \right)=3.016049 u \\ m\left({ }_6^{12} C \right)=12.000000 u \\ m\left({ }_{10}^{20} Ne \right)=19.992439 u \end{array}$
What is Motional electromotive force (emf) ? Obtain motional emf $(\varepsilon)$= B I ${v}$ using proper example.
What is magnetic flux density? Obtain a relation between magnetic flux and magnetic induction.
What is the de Broglie wavelength of:
  1. A bullet of mass 0.040 kg travelling at the speed of 1.0 km/s,
  2. A ball of mass 0.060 kg moving at a speed of 1.0 m/s, and
  3. A dust particle of mass 1.0 × 10–9 kg drifting with a speed of 2.2 m/s?