A single current-carrying loop of wire carrying current I flows in the anticlockwise direction (seen from the +z direction) and lies in the xy plane. The plot of \(\hat{j}\) component of magnetic field (\(B_y\)) at a distance a (less than radius of the coil) and on the yz plane vs z coordinate looks like:
For magnetic field due to current loops:
• Use the right-hand rule to determine the direction of the field.
• Symmetry plays a critical role in analyzing magnetic field variations.
- At z = 0 (plane of the loop), By = 0. - By is opposite in sign for +z and -z, as per the right-hand rule.
By = 0 in plane of coil By is opposite of each other in -z and +z positions.
Electrolysis of 600 mL aqueous solution of NaCl for 5 min changes the pH of the solution to 12. The current in Amperes used for the given electrolysis is ….. (Nearest integer).
If the system of equations \[ x + 2y - 3z = 2, \quad 2x + \lambda y + 5z = 5, \quad 14x + 3y + \mu z = 33 \] has infinitely many solutions, then \( \lambda + \mu \) is equal to:}