In a region the potential is represented by V(x, y, z) = 6x – 8xy –8y + 6yz, where V is in volts and x, y, z, are in meters. The electric force experienced by a charge of 2 coulomb situated at point (1, 1,1) is:
A
6 
N
N
B
30N
C
24N
D
4 
N
N
Text Solution
Verified by ExpertsThe correct answer is:
D
V (x, y, z) = 6x – 8xy – 6y + 6yz
E x = 
= – 6 + 8y
E y = 
= 8 x + 8 – 6z
E z = 
= – 6y
= (–6 + 8y), 
+ (8x + 8 – 6z) 
– 6y 
| 
| = 
NC–1
F = qE = 2 × 
= 
N
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