Which of the following is NOT the correct dimension for electric field?
A. N/C
B. V/m
C. J/Cm
D. All of the answers have the correct dimensions for electric field
To determine which of the given options is NOT the correct dimension for electric field, we need to know the correct dimension for electric field first.
The electric field is defined as the force per unit charge experienced by a positive test charge. Its dimension can be obtained by using the equation for force (F) and charge (Q):
electric field (E) = force (F) / charge (Q)
The dimension for force is given by Newton (N) and the dimension for charge is given by Coulomb (C).
Applying the equation, we can determine the dimension for electric field:
electric field (E) = N / C
So, the dimension for electric field is Newton per Coulomb (N/C).
Now, let's examine the given options:
A. N/C: This option has the correct dimension for electric field (Newton per Coulomb).
B. V/m: This option has the correct dimension for electric field (Volt per meter).
C. J/Cm: This option has the correct dimension for electric field (Joule per Coulomb meter).
D. All of the answers have the correct dimensions for electric field: This option states that all the given options have the correct dimension for electric field.
Therefore, the correct answer is option D. All of the answers have the correct dimensions for electric field.