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Explore the effects of total charges and neutral points in electric fields, analyze sphere charges, and investigate field behavior due to edge effects. Learn about equipotential lines and the impact of different charges on field readings.
E N D
P.1 AL E-field Solution
P.4 Total charges = (+4 x 10-6) + (-1 x 10-6) = (+3 x 10-6) C Charges in each sphere = +1.5 x 10-6 C
FE W=10-3 N P.5 10o 0.05m d
P.5 2 out of 4 possible cases F1 : F2 = 5 : 9 F1 : F2 = 5 : 4
P.8 Neutral point
P.8 Neutral point + + + + + + + + + + - - - - - - - - - - - - - What will happen ?
P.8 Neutral point + + + + + + + + + + - - - - - - - - - - - - -
P.8 Neutral point ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ -- -- -- -- -- -- -- -- -- -- - - - What will happen ?
P.8 Neutral point ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ -- -- -- -- -- -- -- -- -- -- - - - E
P.8 Neutral point ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ -- -- -- -- -- -- -- -- -- -- - - - Same effect
P.8 Neutral point - - - ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ -- -- -- -- -- -- -- -- -- -- Due to edge effect, E
P.8 Neutral point ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ -- -- -- -- -- -- -- -- -- -- - - - What will happen?
P.8 Neutral point ++ ++ ++ ++ ++ ++ ++ ++ ++ ++ -- -- -- -- -- -- -- -- -- -- - - - E
+ + + + + + + + E E P.8
+ + + + + + + + E=0 P.8 No electric force inside the shell
P.9 Φ Φ Φ A Less effective area Effective area=0 Effective area = A
E P.10 R r
+ + + + + + + + P.10 Uniformly charged sphere E r R
+ + + + + + + + P.11 Hollow sphere E r R
P.8 Parallel Plane a + + + + + + + + + + - - - - - - - - - - A
W=mg W FE P.13 No
P.13 E Horizontal component, Vertical component, θ g
T T FE P.13 T = k x = (10)(0.55-0.5) = 0.5
P.14 a) A(-ve) and B(-ve) b) A(+ve) and B(+ve)
d F1 P.14 F2 F3 Vertical component,
F3 F1 P.14 d F4 F2 In diagonal direction
15o TB TA 15o FE WA=mAg WB=mBg P.5 30o WA=mAg TA 105o FE 45o
15o TB TA 15o FE WA=mAg WB=mBg P.5 60o TB 45o WB=mBg FE 75o
+Q0 E F P.16 A B C +Q r Δx x
P.17 V +ve charge r -ve charge
+ + + + + + + + P.18 Uniformly charged sphere V r R
+ + + + + + + + P.18 Solid / hollow conducting sphere V r R
P.18 Parallel Plane A B + + + + + + + + + + - - - - - - - - - - P r d
B A P S L C P.19 ++++++++++++++++ What will happen ?
B A P S L C P.19 ++++++++++++++++ ++++++++++++++++ Increase in divergence +++++++++ ++++++
B A P S L C P.19 ???????????????????? ++++++++++++ What is it ? +++++++++++ ++++++++
B A P S L C P.19 +++++++++++++++++ ++++++++++++ Positively charged rod +++++++++++ ++++++++
B A P S L C P.19 ---------------------- ++++++++++++++++ What will happen ? +++++++++ ++++++
B A P S L C P.19 ---------------------- ++++++++++++++++++ Decrease in divergence ++++++++ +++++
- + + - - - + + + - P.19 - Ions will be produced Ions will be attracted by the other charged objects +
- + + - - - + + + - P.20 Increase in divergence +++ ++
- + + - - - + + + - P.20 Increase in divergence +++ ++
P.20 No reading No potential difference Same potential Equipotential line
P.20 With reading Have potential difference Different potential Equipotential line
+Q E P.21 A B +Q0 x Δx -ve +ve +ve
P.24 A B d - - - - - - - - - - + + + + + + + + + + P r Q l 800 400 600 200