Electric field in a certain region is given by vec E =(( A /x2) hati+( B /y3) hatj). The SI unit of A and B are :

Question

Electric field in a certain region is given by vec E =(( A /x2) hati+( B /y3) hatj). The SI unit of A and B are : (A) Nm 2 C -1 ; Nm 3 C -1 (B) Nm 3 C ; Nm 2 C (C) Nm 2 C ; Nm 3 C (D) Nm 3 C -1 ; Nm 2 C -1

Tardigrade Admin · Accepted Answer

vec E =( A / x 2) hat i +( B / y 3) hat j [( A / x 2)]= NC -1 ⇒[ A ]= Nm 2 C -1 [( B / y 3)]= NC -1 ⇒[ B ]= Nm 3 C -1

Q. Electric field in a certain region is given by $E = (\frac{A}{x ^{2}} \hat{i} + \frac{B}{y ^{3}} \hat{j})$ . The $S I$ unit of $A$ and $B$ are :

$N m^{2} C^{- 1}; N m^{3} C^{- 1}$

$N m^{3} C; N m^{2} C$

$N m^{2} C; N m^{3} C$

$N m^{3} C^{- 1}; N m^{2} C^{- 1}$

$E = \frac{A}{x ^{2}} \hat{i} + \frac{B}{y ^{3}} \hat{j}$
$[\frac{A}{x ^{2}}] = N C^{- 1} \Rightarrow [A] = N m^{2} C^{- 1}$
$[\frac{B}{y ^{3}}] = N C^{- 1} \Rightarrow [B] = N m^{3} C^{- 1}$

Q. Electric field in a certain region is given by E=(x2A​i^+y3B​j^​). The SI unit of A and B are :

Nm2C−1;Nm3C−1

Nm3C;Nm2C

Nm2C;Nm3C

Nm3C−1;Nm2C−1