In a region, the potential is represented by V (x,y,z) = 6x - 8 xy - 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1,1,1) is, - Zigya

In a region, the potential is represented by V (x,y,z) = 6x - 8 xy - 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1,1,1) is,

6√5 N

30 N

24 N

24 N

24 N

We know,

F = qE ... (i)

E =

... (ii)

The values of E_x, E_y and E_z at (1,1,1) are

E_x = 6 - 8x(1) = -2
E_y = -8(1) - 8 + 6(1) = -10
E_z = 6 x 1 = 6

Therefore,

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In a region, the potential is represented by V (x,y,z) = 6x - 8 xy - 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1,1,1) is, 6√5 N 30 N 24 N 24 N

Electric Charges and Fields

Physics Part I

In a region, the potential is represented by V (x,y,z) = 6x - 8 xy - 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1,1,1) is,

6√5 N

30 N

24 N

24 N