Calculation of the Net Electric Field due to Two Oppositely Charged Objects, Exercises of Electrical Engineering

The calculation of the net electric field due to the interaction of two oppositely charged objects with given charges and positions. The concept of electric fields, the formula to calculate the individual electric fields, and the method to find the net electric field by adding the magnitudes of the individual fields. Useful for students studying physics, particularly those focusing on electric fields and electrostatics.

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

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6. For concreteness, consider that charge 2 lies 0.15 m east of charge 1, and the point at which we are
asked to evaluate their net field is r=0.075 m east of charge 1 and r=0.075 m west of charge 2. The
values of charge are q1=q2=2.0×107C. The magnitudes and directions of the individual fields are
specified:
E1
=q1
4πε0r2=3.2×105N/Cand
E1points east
E2
=|q2|
4πε0r2=3.2×105N/Cand
E2points east
Since they point the same direction, the magnitude of the net field is the sum of their amplitudes,
Enet
=6.4×105N/C, and it points east (that is, towards the negative charge).
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  1. For concreteness, consider that charge 2 lies 0.15 m east of charge 1, and the point at which we are

asked to evaluate their net field is r = 0.075 m east of charge 1 and r = 0.075 m west of charge 2. The

values of charge are q 1 = −q 2 = 2. 0 × 10

− 7 C. The magnitudes and directions of the individual fields are

specified:

E

1

∣ =^

q 1

4 πε 0 r 2

= 3. 2 × 10

5 N/C and E 1 points east

E 2

|q 2 |

4 πε 0 r^2

= 3. 2 × 10

5 N/C and

E 2 points east

Since they point the same direction, the magnitude of the net field is the sum of their amplitudes, ∣ ∣ ∣

E

net

∣ = 6.^4 ×^10

5 N/C, and it points east (that is, towards the negative charge).

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