Question
Prove that the force acting on a current-carrying wire, joining two fixed points a and b in a uniform magnetic field, is independent of the shape of the wire.
✓
Answer
For force on a current carrying wire in an uniform magnetic fieldWe need, l → length of wire
i → Current
B → Magnitude of magnetic field
Since $\overrightarrow{\text{F}}=\text{i}\ell\text{B}$
Now, since the length of the wire is fixed from A to B, so force is independent of the shape of the wire.
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
Explain, with the help of a schematic diagram, the principle and working of a Light Emitting Diode. What criterion is kept in mind while choosing the semiconductor material for such a device? Write any two advantages of Light Emitting Diode over conventional incandescent lamps.
- Derive an expression for drift velocity of free electrons.
- How does drift velocity of electrons in a metallic conductor vary with increase in temperature? Explain.
When an inductor L and a resistor R in series are connected across a 12 V, 50 Hz supply, a current of 0.5 A flows in the circuit. The current differs in phase from applied voltage by $\pi/3$ radian. Calculate the value of R.
→State two characteristic properties distinguishing the behaviour of paramagnetic and diamagnetic materials ?
Use Biot-Savart law to derive the expression for the magnetic field on the axis of a current carrying circular loop of radius R. Draw the magnetic field lines due to a circular wire carrying current I.
Define the terms half$-$life period and decay constant of a radioactive substance. Write their $S.I.$ units. Establish the relationship between the two.
→Visible light has wavelengths in the range of 400nm to 780nm. Calculate the range of energy of the photons of visible light.
Two heating elements of resistances $R_{1}$ and $R_{2}$ when operated at a constant supply of voltage, $V$, Consume power $P_1$ and $P_2$ respectively. Deduce the expressions for the power of their combination when they are, in turn, connected in $(i)$ series and $(ii)$ parallel across the same voltage supply.
→Explain the following:
(a) Ground Waves, (b) Sky Waves, (c) Space Waves.
(a) Ground Waves, (b) Sky Waves, (c) Space Waves.
Deuteron is a bound state of a neutron and a proton with a binding energy $B =2.2 MeV. A \gamma-$ ray of energy $E$ is aimed at a deuteron nucleus to try to break it into a $($neutron $+$ proton$)$ such that the $n$ and $p$ move in the direction of the incident $\gamma-$ ray. If $E = B$, show that this cannot happen. Hence calculate how much bigger than $B$ must $E$ be for such a process to happen.
→