Answer:

Explanation:
When calculating Hall voltage, it is crucial to have the current, magnetic field strength, length, area, and number of charge carriers available. The Hall voltage can be expressed using the equation:

Where:
i= the current
B= the magnetic field strength
L = the length
n = the number of charge carriers
e= charge of an electron
We need to replace values and solve for n:



As a result, the charge carrier density is 
The amount of work performed by a system at consistent pressure is defined by the following equation:

where
p represents pressure

as the final volume

as the initial volume
Plugging the values given in this case into the formula gives us

Considering that

, the result for the work done becomes
Answer:
a
The value at a point inside is Zero
b
The electric field is 
Explanation:
We know from the problem that
The charge magnitude is 
The radius of the spherical ball is 
According to Gauss’s law, the enclosed charge within a conductor is zero which indicates that the electric field within the spherical ball is zero
On the outside, the electric field around the spherical ball is mathematically expressed as

Here a denotes a point outside the spherical ball with its value of 
and k represents Coulomb's constant, valued at

=> 
=> 
Hypothesis: An increase in voltage should result in a corresponding rise in current because according to Ohm's Law,


Ohm's Law indicates that current is proportional to voltage when resistance remains constant. Hence, if resistance stays the same, elevating the voltage will lead to an increase in current. Conversely, if voltage remains unchanged and resistance increases, current will decrease.