Question

Match the following and find the correct pairs:

List1	List2
(a). Fleming’s left hand rule	(e) Direction of induced current
(b). Right hand thumb rule	(f) Magnitude and direction of magnetic induction
(c). Biot-Savart law	(g) Direction of force due to magnetic induction
(d).Fleming’s right hand rule	(h) Direction of magnetic lines due to current

$
  (a){\text{ a - g,b - e,c - f,d - h}} \\
  (b){\text{ a - g,b - h,c - f,d - e}} \\
  (c){\text{ a - f,b - h,c - g,d - e}} \\
  (d){\text{ a - h,b - g,c - e,d - f}} \\
$

Answer 1

Hint – The direction of force acting upon the conductor can be found out using Fleming’s left hand rule, Biot-Savart law states the magnetic field towards the magnitude, length, direction etc. Use basic definitions to reach the answer.

Complete step-by-step answer:

Fleming’s left hand rule –
Whenever a current carrying conductor is placed in a magnetic field, it experiences a force due to the magnetic field. The direction of force acting on the conductor can be found using Fleming's Left Hand Rule. The finger points in the direction of the current.
So we find out the direction of force due to magnetic induction.

Hence the given table option (g) is correct.


Right hand thumb rule –
The Maxwell right hand thumb rule indicates the direction of the magnetic field in a direction of current. If the thumb of the right hand points along the direction of current, then the remaining curled fingers of the same hand gives the direction of the magnetic field due to the current.

Hence in the given table option (h) is correct.


Biot – savart law –
The Biot-Savart Law is an equation that describes the magnetic field created by a current-carrying wire and allows you to calculate its strength at various points.
Biot Savart Law
Directly proportional to current (I)
Directly proportional to the length of the element (dl)
Directly proportional to the sine of angle θ between the direction of current and the line joining the element dl from point A.
Inversely proportional to the square of the distance (r) of point A from the element dl.
$B(r){\text{ = }}\dfrac{{{\mu _0}}}{{4\pi }}\int\limits_C {\dfrac{{Idl \times r'}}{{{{\left| {r'} \right|}^3}}}} $
Hence in the given table option (f) is correct.


Fleming’s right hand rule –
Fleming's right-hand rule (for generators) shows the direction of induced current when a conductor attached to a circuit moves in a magnetic field. The thumb is pointed in the direction of the motion of the conductor relative to the magnetic field.

Hence in the given table option (e) is correct.

Thus overall option (b) is the right answer to this match the following
So this is the required answer.

Note – All these laws correspond to basic electro stats however they have a wide variety of applications in other domains as well, like right hand thumb rule is used in determining the direction of torque, angular velocity and angular acceleration. Fleming's left hand rule is used to find the direction of motion of a conductor in a D.C motor.