Embibe Experts Solutions for Chapter: Moving Charges and Magnetism, Exercise 1: Exercise

In the given figure, two semicircular arcs have radii $R_2=7.80 \mathrm{cm}$ and $R_1=2.86 \mathrm{cm},$ that carry current $i=0.281 \mathrm{A}$ and have the same centre of curvature $\mathrm{C} .$ What are the $\left(\mathrm{a}\right)$ magnitude and $\left(\mathrm{b}\right)$ direction (into or out of the page) of the net magnetic field at $\mathrm{C}$? 

A positive charge is coming directly towards you. What would be the direction of the magnetic field produced due to its motion? If a negative charge be going directly away from you, then?

Mention similarities between Biot-Savart's law and Coulomb's law.

Mention differences between Biot-Savart's law and Coulomb's law.

State Biot-Savart’s law for the magnetic field due to a current-carrying element, explaining the symbols. Define ‘tesla’ on the basis of this law. How is gauss related to tesla?

Discuss analogies and differences between Coulomb’s law and Biot-Savart’s law.

State and explain Biot-Savart law.

In the figure two long straight wires are perpendicular to the page and separated by distance $d_1=0.75 \mathrm{cm}.$ Wire $1$ carries $6.5 \mathrm{A}$ into the page. What are the 

(a) magnitude and 

(b) direction (into or out of the page) of the current in wire $2$ if the net magnetic field due to the two currents is zero at point $P$ located at distance $d_2=2.50 \mathrm{cm}$ from wire $2$? If the current in wire $2$ is then reversed, what will be the 

(c) magnitude and 

(d) direction of the net field at point $P ?$