Question
Two parallel wires carry equal currents of 10A along the same direction and are separated by a distance of 2.0cm. Find the magnetic field at a point which is 2.0cm away from each of these wires
✓
Answer
$\cos\theta=\frac{1}{2},$$\theta=60^\circ\ \&\ \angle\text{AOB}=60^\circ$
$\text{B}=\frac{\mu_0\text{I}}{2\pi\text{r}}=\frac{10^{-7}\times2\times10}{2\times10^{-2}}=10^{-4}\text{T}$
So net is $[(10^{-4})^2]+(10^{-4})^2+2(10^{-8})\cos60^\circ]^\frac{1}{2}$
$=10^{-4}\Big[1+1+2\times\frac{1}{2}\Big]^\frac{1}{2}$
$=10^{-4}\times\sqrt3\text{T}$
$=1.732\times10^{-4}\text{T}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Answer the following question:
Why must both the objective and the eyepiece of a compound microscope have short focal lengths?
Why must both the objective and the eyepiece of a compound microscope have short focal lengths?
- States law of Malus.
- Draw a graph showing the variation of intensity (I) of polarised light transmitted by an with angle $(\theta)$between polariser and analyser.
- What is the value of refractive index of a medium of polarising angle $60^\circ?$
The number of electrons in an insulator is of the same order as the number of electrons in a conductor. What is then the basic difference between a conductor and an insulator?
Answer the following questions:
→- In a double slit experiment using light of wavelength 600 nm, the angular width of the fringe formed on a distant screen is $0.1^\circ$. Find the spacing between the two slits.
- Light of wavelength 5000 Å. Propagating in air gets partly reflected from the surface of water. How will the wavelengths and frequencies of the reflected and refracted light be affected?
A totally reflecting, small plane mirror placed horizontally faces a parallel beam of light, as shown in the figure. The mass of the mirror is 20g. Assume that there is no absorption in the lens and that 30% of the light emitted by the source goes through the lens. Find the power of the source needed to support the weight of the mirror. Take $g = 10m/s^2.$
→A network of four capacitors each of 12 μF capacitance is connected to a 500 V supply as shown in the figure. Determine (a) equivalent capacitance of the network and (b) charge on each capacitor.
A sample of paramagnetic salt contains $2.0 \times 10^{24}$ atomic dipoles each of dipole moment $1.5 \times 10^{-23} \mathrm{~J} \mathrm{~T}^{-1}$. The sample is placed under a homogeneous magnetic field of 0.64 T , and cooled to a temperature of 4.2 K . The degree of magnetic saturation achieved is equal to $15 \%$. What is the total dipole moment of the sample for a magnetic field of 0.98 T and a temperature of 2.8 K ? (Assume Curie's law)
→ An electric bulb, when connected across a power supply of 220V, consumes a power of 60W. If the supply drops to 180V, what will be the power consumed? If the supply is suddenly increased to 240V, what will be the power consumed?
How is the mutual inductance of a pair of coils affected when:
i. separation between the coils is increased?
ii. the number of turns of each coil is increased?
iii. A thin iron sheet is placed between the two coils, other factors remaining the same?
i. separation between the coils is increased?
ii. the number of turns of each coil is increased?
iii. A thin iron sheet is placed between the two coils, other factors remaining the same?
A proton describes a circle of radius 1cm in a magnetic field of strength 0.10T. What would be the radius of the circle described by an α-particle moving with the same speed in the same magnetic field?