1.

Example 2. Three point charges of +8 x 10°C, +32 x 10-°C and +24 x10-°C are placed at the corners A, B and C of a square ABCD havingeach side 4 cm. Find the electric field intensity at the corner D. Assumethat the medium is air.​

Answer»

ANSWER:q  

A

​  

=8×10  

9

C

q  

B

​  

=32×10  

−9

C

q  

C

​  

=24×10  

−9

C

Electric field intensity at D:E  

D

​  

=  

r  

AD

2

​  

 

kq  

A

​  

 

​  

+  

r  

BD

2

​  

 

kq  

B

​  

 

​  

+  

r  

CD

2

​  

 

kq  

C

​  

 

​  

 where r  

AD

​  

 is the distance between A and D and so on..

E  

D

​  

=k(  

r  

AD

2

​  

 

q  

A

​  

 

​  

+  

r  

BD

2

​  

 

q  

B

​  

 

​  

+  

r  

CD

2

​  

 

q  

C

​  

 

​  

)

=k(  

(0.4)  

2

 

8×10  

−9

 

​  

+  

2×(0.04)  

2

 

32×10  

−9

 

​  

+  

(0.04)  

2

 

24×10  

−9

 

​  

)

=9×10  

9

×10  

−9

×  

(0.04)  

2

 

8

​  

[1+  

2

4

​  

+3]

=45000×[6]

=270000N/Cq  

A

​  

=8×10  

−9

C

q  

B

​  

=32×10  

−9

C

q  

C

​  

=24×10  

−9

C

Electric field intensity at D:E  

D

​  

=  

r  

AD

2

​  

 

kq  

A

​  

 

​  

+  

r  

BD

2

​  

 

kq  

B

​  

 

​  

+  

r  

CD

2

​  

 

kq  

C

​  

 

​  

 where r  

AD

​  

 is the distance between A and D and so on..

E  

D

​  

=k(  

r  

AD

2

​  

 

q  

A

​  

 

​  

+  

r  

BD

2

​  

 

q  

B

​  

 

​  

+  

r  

CD

2

​  

 

q  

C

​  

 

​  

)

=k(  

(0.4)  

2

 

8×10  

−9

 

​  

+  

2×(0.04)  

2

 

32×10  

−9

 

+  

(0.04)  

2

 

24×10  

−9

 

​  

)

=9×10  

9

×10  

−9

×  

(0.04)  

2

8  

[1+  

2

4  

+3]

=45000×[6]

=270000N/C

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