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vodka [1.7K]
3 years ago
11

A 31 mC charge is positioned on the x axis at x + 8 cm. Where should a -70 mC charge be placed (on the positive X-axis) to produ

ce a net electric field of zero at the origin?
Physics
1 answer:
guajiro [1.7K]3 years ago
4 0

Answer:r=12.02 cm

Explanation:

Given

q_1=31 mC=31\times 10^{-3}C

Placed at x=8 cm

q_2=-70 mc=-70\times 10^{-3} C

placed at a distance, suppose r

Electric field due to positive charge will be away from the origin and electric field due to negative charge is towards the origin

Thus net effect will be zero

E=\frac{kq}{r^2}

E_1=\frac{9\times 10^{9}\times 31\times 10^{-3}}{0.08^2}

E_2=\frac{9\times 10^{9}\times 70\times 10^{-3}}{r^2}

Equate E_1=E_2

\frac{31}{8^2}=\frac{70}{r^2}

r=8\times \sqrt{\frac{70}{31}}

r=12.02 cm

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When a pendulum is at the position all the way to the left when it is swinging (at the top of the arc), what is true of the kine
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7 0
3 years ago
An artillery shell is launched on a flat, horizontal field at an angle of α = 40.8° with respect to the horizontal and with an i
Lina20 [59]

Answer:

1317.4 m

Explanation:

We are given that

Angle=\alpha=40.8^{\circ}

Initial speed =v_0=346m/s

We have to find the horizontal distance covered  by the shell after 5.03 s.

Horizontal component of initial speed=v_{ox}=v_0cos\theta=346cos40.8=261.9m/s

Vertical component of initial speed=v_{oy}=346sin40.8=226.1m/s

Time=t=5.03 s

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Using the  formula

Horizontal distance=261.9\times 5.03

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8 0
3 years ago
The parallel plates in a capacitor, with a plate area of 7.90 cm2 and an air-filled separation of 2.70 mm, are charged by a 7.90
s2008m [1.1K]

Answer:

A) 26V

Explanation:

(a) the potential difference between the plates

Initial capacitance can be calculated using below expresion

C1= A ε0/ d1

Where d1= distance between = 2.70 mm= 2.70× 10^-3 m

ε0= permittivity of space= 8.85× 10^-12 Fm^-1

A= area of the plate = 7.90 cm2 = 7.90 ×10^-4 m^2

If we substitute the values we

C1= A ε0/ d1

=( 7.90 ×10^-4 × 8.85× 10^-12 )/2.70× 10^-3

C1=2.589 ×10^-12 F= 2.59 pF

Initial charge can be determined using below expresion

q1= C1 × V1

V1=2.589 ×10^-12 F

V1= voltage=7.90 V

If we substitute we have

q1= 2.589 ×10^-12 × 7.90

q1= 20.45×10^-12C

20.45 pC

Final capacitance can be calculated as

C2= A ε0/ d2

d2=8.80 mm= /8.80× 10^-3

7.90 ×10^-4 × 8.85× 10^-12 )/8.80× 10^-3

C1=0.794 ×10^-12 F= 0.794 pF

Final charge= initial charge

q2=q1 (since the battery is disconnected)

q2=q1= 20.45 pC

Final potential difference

V2= q/C2

= 20.45/0.794

= 26V

6 0
3 years ago
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