A Hall probe consists of copper strip of n=8.5 times 10^28 mathrm(~m)^-3 , Shich is 2.0 mathrm(~cm) of Cross-seetinal dimensims 2.0 mathrm(~cm) by 0.10 mathrm(~cm) . Determine tho magnetro field when I=50 mathrm(~A) and V_(H)=4.0 mathrm(MV) .

To determine the magnetic field ( ) in the Hall probe, we can use the Hall effect equation: Where:- is the Hall voltage,- is the magnetic field,- is the length of the Hall probe,- is the drift velocity of the charge carriers,- is the number of charge carriers per unit volume,- is the charge of the electron.Given:- - - - First, we need to find the drift velocity ( ) using the formula: Where:- is the cross-sectional area of the Hall probe.Given the dimensions of the Hall probe:- Width ( ) = - Height ( ) = The cross-sectional area ( ) is: Now, calculate the drift velocity ( ): Now, we can find the magnetic field ( ) using the Hall effect equation: Given the length of the Hall probe ( ) is , we can substitute the values into the equation: Therefore, the magnetic field when and is .