Jee prep physics and maths material, Study notes of Physics

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r

q' q 1

r

r

r

r

0  q'  | q |

q

m

q

m

7

12

19

Q 2 10

n 1.25 10

e





18

6 12

19

2 10 (10 t).(2e) t 6.25 s







1 1

F  q q

2

F

r

1 2

e

2

kq q

F

r

2

9

2

0

1 Nm

k 9 10 k

C

vaccum

0

k

0

vaccum

0

4 k

2

12

2

C

N m



 

0 r

r

r

0

electric permittivity of medium

electric permittivity of vaccum

1 12 13

F  F  F ...

0 1 0 2 0 i 0 n

2 2 2 2

1 2 i n

kq q kq q kq q kq q

F ... ...

r r r r

n

i

0 i 2

i 1

i

q

F kq ˆr

r





1 2

2

m m

F G

r

1 2

2

0

q q 1

F

r

1 2

2

q q 1

F '

r

0

F

K

F '

2

0

1 q q

F

r

2

0

1 (2q)(2q)

F '

(2r)

2 2

2 2

0 0

1 4q 1 q

F ' F

4r r

1

1 1

Q

2 2

KQ q KQ q

F 0

r x

1

1 2

Q

x r

Q Q

1 2

2

1 2

Q Q

q

( Q Q )

   q Q 3

q(2 2 1)

Q

T cos  mg

2

e

2

kQ

F T sin

x

2

e

2

F

kQ

tan

mg

x mg

2

2

x kQ

sin

2l

x mg

2

3

2kQ l

x

mg

1

3 2

0

Q l

x

2 mg

eff

(g 0)

2

e

2

kq

F

4l

1 μC

4 μC

2 2

k(1)q k(4)q

d (10 d)

2

10 d

d

10 d

d

d cm

1

2

A

3

kq ak

F

a

2

2

A

3

kq aj ak

F

2a

3

2

A

3

kq a i aj ak

F

3a

4

2

A

3

kq ai ak

F

2a

5 6

2 2

A A 3 3

kq ai kq ai aj

F ,F

a ( 2a)

7

2

A 3

kq a i

F

a

1 2 3 4 5 6 7

A A A A A A A

F  F  F  F  F  F  F F

2

2

kq 1 1

F 1 i j k

a

f

F

2

2 2

0 0

1 q q q

F f 0 F f F f

L 4 L

E

F

0

F

E

q

E

F qE

E

E

F qE