Write the relation for the forces F acting on a charge carrier q … - Vidyadip

Question

Write the relation for the forces $\overrightarrow{F}$ acting on a charge carrier q moving with a velocity $\overrightarrow{V}$ through a magnetic field $\overrightarrow{B}$ in vector notation. Using this relation, deduce the conditions under which this force will be (1) maximum (2) minimum.

✓

Answer

$\stackrel\rightharpoonup{\text{F}} = \text{q}\big(\stackrel\rightharpoonup{V}\times\stackrel\rightharpoonup{B}\big)$ $\therefore |\stackrel\rightharpoonup{\text{F}}| = \text{qVB}sin\theta$

Maximum when

$\stackrel\rightharpoonup{\text{V}}\bot\stackrel\rightharpoonup{\text{B}}$ Or $\theta = \pi/2$

Minimum when

$\stackrel\rightharpoonup{\text{V}}||\stackrel\rightharpoonup{\text{B}} $ Or $\theta = 0 $ Or $180^{\circ}$

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

Explore more

More "2 Marks Questions" from Moving Charges and Magnetism→Moving Charges and Magnetism — all question types→Physics STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Explain the dependence of the electric potential generated at a great distance due to a small electric dipole, when the point of observation is (i) in the axial position, and (ii) in the equatorial position.

Answer the following questions:
A low voltage supply from which one needs high currents must have very low internal resistance. Why?

In a double slit interference experiment, the separation between the slits is 1.0mm, the wavelength of light used is $5.0 × 10^{-7}m$ and the distance of the screen from the slits is 1.0m.

Find the distance of the centre of the first minimum from the centre of the central maximum.
How many bright fringes are formed in one centimeter width on the screen?

The following figure shows the input waveforms (A, ,B) and the output waveform (Y) of a gate. Identify the gate, write its truth table and draw its logic symbol.

State the principle of working of a cyclotron. Write two uses of this machine.

What is paramagnetic substance?

The contact angle between pure water and pure silver is $90^\circ$. If a capillary tube made of silver is dipped at one end in pure water, will the water rise in the capillary?

Find the number of molecules in $1cm^3$ of an ideal gas at 0^\circC and at a pressure of $10^{-5}$ mm of mercury.

Explain the rules for obtaining image due to reflection from a spherical mirror.

Estimate the average drift speed of conduction electrons in a copper wire of cross-sectional area $1.0 \times 10^{-7} \mathrm{~m}^2$ carrying a current of 1.5 A . Assume the density of conduction electrons to be $9 \times 10^{28} \mathrm{~m}^{-3}$.