Question

Biot-Savart law indicates that the moving electrons velocity (V) produce a magnetic field B such that ______.

Options

• B ∥ v.
• B ⊥ v.
• it obeys inverse cube law.
• it is along the line joining electron and point of observation.

Answer 1

Biot-Savart law indicates that the moving electrons velocity (V) produce a magnetic field B such that B ⊥ v.

Explanation:

According to the Niot-Savart law, the magnitude of `vecB` is: `B  oo |q|; B  oo v; B  oo sin phi; B  oo  1/r^2`

`B  oo (|q| v sin phi)/r^2`

`B = (mu_0 |q| v sin phi)/r^2`

Where `mu_0/(4pi)` is a proportionality constant, 'r' is the magnitude of position vector from charge to that point at which we have to find the magnetic field and `pgi` is the angle between `vecv` and `vecr`.

or `vecB = (mu_0)/(4pi) (|q| (vecv xx vecr))/(|r^3|) hatn`

Where `hatn` is the direction of `vecB` which is in the direction of cross product of `vecv` and `vecr`. Or we can say that `vecB` ⊥ to both `vecv` and `vecr`.

Where is a proportionality constant, V’ is the magnitude of position vector from charge to that point at which we have to find the magnetic field and < f) is the angle between v and F.

Where h is the direction of B which is in the direction of cross product of v and F . Or we can say that B ⊥ to both v and F.