Electric field in a certain region is given by The SI unit of A and B are [2023]

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Q.
Electric field in a certain region is given by $\vec{E} = (\frac{A}{x^{2}} \hat{i} + \frac{B}{y^{3}} \hat{j}) .$ The SI unit of $A$ and $B$ are [2023]

1 ${Nm}^{3} C^{- 1}; {Nm}^{2} C^{- 1}$

2 ${Nm}^{2} C^{- 1}; {Nm}^{3} C^{- 1}$

3 ${Nm}^{3} C; {Nm}^{2} C$

4 ${Nm}^{2} C; {Nm}^{3} C$

Ans.
(2)

$\vec{E} = \frac{A}{x^{2}} \hat{i} + \frac{B}{y^{3}} \hat{j}$

$[\frac{A}{x^{2}}] = {NC}^{- 1} \Rightarrow [A] = {Nm}^{2} C^{- 1}$

$[\frac{B}{y^{3}}] = {NC}^{- 1} \Rightarrow [B] = {Nm}^{3} C^{- 1}$

Solution

Q.
Electric field in a certain region is given by $\vec{E} = (\frac{A}{x^{2}} \hat{i} + \frac{B}{y^{3}} \hat{j}) .$ The SI unit of $A$ and $B$ are [2023]

1 ${Nm}^{3} C^{- 1}; {Nm}^{2} C^{- 1}$

2 ${Nm}^{2} C^{- 1}; {Nm}^{3} C^{- 1}$

3 ${Nm}^{3} C; {Nm}^{2} C$

4 ${Nm}^{2} C; {Nm}^{3} C$

Ans.
(2)

$\vec{E} = \frac{A}{x^{2}} \hat{i} + \frac{B}{y^{3}} \hat{j}$

$[\frac{A}{x^{2}}] = {NC}^{- 1} \Rightarrow [A] = {Nm}^{2} C^{- 1}$

$[\frac{B}{y^{3}}] = {NC}^{- 1} \Rightarrow [B] = {Nm}^{3} C^{- 1}$

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Solution

Q. Electric field in a certain region is given by E→=(Ax2 i^+By3 j^). The SI unit of A and B are [2023]

1 Nm3C-1; Nm2C-1

2 Nm2C-1; Nm3C-1

3 Nm3C; Nm2C

4 Nm2C; Nm3C

Ans. (2) E→=Ax2i^+By3 j^ [Ax2]=NC-1 ⇒ [A]=Nm2C-1 [By3]=NC-1 ⇒ [B]=Nm3C-1

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Q.
Electric field in a certain region is given by $\vec{E} = (\frac{A}{x^{2}} \hat{i} + \frac{B}{y^{3}} \hat{j}) .$ The SI unit of $A$ and $B$ are [2023]

1 ${Nm}^{3} C^{- 1}; {Nm}^{2} C^{- 1}$

2 ${Nm}^{2} C^{- 1}; {Nm}^{3} C^{- 1}$

3 ${Nm}^{3} C; {Nm}^{2} C$

4 ${Nm}^{2} C; {Nm}^{3} C$

Ans.
(2)

$\vec{E} = \frac{A}{x^{2}} \hat{i} + \frac{B}{y^{3}} \hat{j}$

$[\frac{A}{x^{2}}] = {NC}^{- 1} \Rightarrow [A] = {Nm}^{2} C^{- 1}$

$[\frac{B}{y^{3}}] = {NC}^{- 1} \Rightarrow [B] = {Nm}^{3} C^{- 1}$