Tag: magnetic field produced in a circular loop

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Multiple choice physics electromagnetic forces magnetic field due to a circular current carrying conductor magnetic field produced in a circular loop oersted experiment oersted's experiment magnetic field due to a straight current carrying conductor

Chose the correct statement from the following:

  1. Electric current is a scalar quantity

  2. Charge carries in metals are ions

  3. The area of current- time graph gives charge

  4. A charge in motion produces both electric and magnetic field
Reveal answer Fill a bubble to check yourself
A,C,D Correct answer
Explanation
$(i)$ Option- $A$ is correct, since current has no directional attribute to it, it is a scalar quantity.
$(ii)$ Option- $B$ is correct, Charge carries in metal are free electrons whereas in electrolytic solution they are ions
$(iii)$ Option- $C$ is correct because $i=\dfrac{da}{dt}\Rightarrow =i dt \Rightarrow a=\displaystyle \int{i. dt}$
$\displaystyle \int{i. dt}$ is the area under current-time graph
$(iv)$ Option- $D$ is correct, charge in motion produces current which in term produces magnetic field.
Multiple choice physics electromagnetic forces magnetic field due to a circular current carrying conductor magnetic field produced in a circular loop oersted experiment oersted's experiment magnetic field due to a straight current carrying conductor

Two long parallel wires A and B separated by a distance d, carry currents $i _1$ and $i _2$ respectively in the same direction. Write the following steps in a sequential order to find the magnitude of the resultant magnetic field at a point 'P', which is between the wires and is a distance '$x$' from the wire A.
(All the physical quantities are measured in SI units)
(a) Note the given values of $i _1, i _2$, $d$ and $x$.
(b) Write the formula to find the magnetic field due to a long straight current carrying wire i.e. $\displaystyle B=\frac{\mu _0 i}{2 \pi r}$
(c) Find the directions of the magnetic field at 'P' due to two wires A and B, using right hand thumb rule.
(d) Determine the magnetic field at P due to wire A, using $B _1 \displaystyle = \frac{\mu _0 i _1}{2 \pi x}$
(e) If the directions of magnetic field are same, then the resultant magnitude is equal to the sum of $B _1$ and $B _2$.
(f) Determine the magnetic field $B _2$ due to wire B at point P, ie. $B _2 = \displaystyle \frac{\mu _o i _2}{2 \pi (d-x)}$
(g) If the directions of magnetic fields are opposite to each other, then the resultant magnitude is equal to the difference of $B _1$ and $B _2$.

  1. $d f c e g b a$
  2. $c d f e g b a$
  3. $a c b d f e g$
  4. $a b d f c e g$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The logical sequence for calculating the resultant magnetic field is: identify values, write the formula, determine individual fields (B1 and B2), determine directions, and then sum or subtract based on those directions.

Multiple choice physics electromagnetic forces magnetic field due to a circular current carrying conductor magnetic field produced in a circular loop oersted experiment oersted's experiment magnetic field due to a straight current carrying conductor

Consider a region where both uniform electric and magnetic fields E and B are present both along the z-axis. A positively charged particle of charge and mass is released from the origin with an initial velocity ${{\text{V}} _e}\hat i$. Which of the following option(s) are correct?

  1. (A)The y coordinate of the particle at time ${\text{t}} = \frac{{\pi {\text{M}}}}{{{\text{qB}}}}{\text{ is}}\frac{{ - 2{\text{mv}}}}{{{\text{qB}}}}$

  2. (B)The distance between two consecutive point on the z-axis where the particle touches the Z-axis is an odd multiple of a constant distance.

  3. (C)The distance between two consecutive point on the z-axis where the particle touches the Z-axis is an even multiple of a constant distance.
  4. (D)The time after which the particle touches the z-axis is $\frac{{2\pi {\text{m}}}}{{{\text{qB}}}}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

This is a classic problem of a charged particle in crossed electric and magnetic fields. The particle undergoes cycloidal motion. The y-coordinate calculation at the specified time is a standard derivation for this motion.