Answer:
Electric field at a point ( x , y , z) is  .
 .
Explanation:
Given :
 Electric potential in the region is , 
We need to find the electric field .
We know , electric field ,  { Here r is distance }
  { Here r is distance }
In coordinate system ,
 {
  {  is partial derivative }
 is partial derivative }
Putting all values we get , 

Hence , this is the required solution.
 
        
             
        
        
        
Answer:
Explanation:
Length, l = 4.32 x 10^4 m 
speed, v = 7.07 x 10^3 m/s 
magnetic field, B = 5.81 x 10^-5 T 
The formula for the motion emf is given by 
e = B x v x l 
e = 5.81 x 10^-5 x 7.07 x 10^3 x 4.32 x 10^4 
e = 17745.1 V 
 
        
             
        
        
        
Answer: 0.3872m
Explanation:
q= 100nC -->  100x10^-9 C
k= 9x10^9 Nm^2/C^2
E= 6kN/C --> 600 N/C
r=?
 -->
 -->  Despejas "r"
 Despejas "r"
Resuelves
<h3>

  (la x es por, no es una variable)</h3><h3>r= 0.3872983346m</h3>
 
        
             
        
        
        
Answer:
The pressure at the top of the step is 129.303 kilopascals. 
Explanation:
From Hydrostatics we find that the pressure difference between extremes of the water column is defined by the following formula, which is a particular case of the Bernoulli's Principle ( ):
):
 (1)
 (1)
 ,
,  - Total pressures at the bottom and at the top, measured in pascals.
 - Total pressures at the bottom and at the top, measured in pascals.
 - Density of the water, measured in kilograms per cubic meter.
 - Density of the water, measured in kilograms per cubic meter.
 - Height difference of the step, measured in meters.
 - Height difference of the step, measured in meters.
If we know that  ,
,  ,
,  and
 and  , then the pressure at the top of the step is:
, then the pressure at the top of the step is:




The pressure at the top of the step is 129.303 kilopascals.