At what distance from a 10 nC charge is the field strength 300 V / m?
September 10, 2021 | education
| The field strength E is calculated by the formula:
E = k. q / r ^ 2;
E = 300 V / m;
here the proportionality coefficient k = 9.109:
this is a constant value and depends on the frame of reference we have chosen. In this task, we use SI – the international system
q value of electric charge 10 nC = 10. 10-9 Cl;
from the basic formula of tension, we derive the value of the square of the distance:
r ^ 2 = k. q / E;
r ^ 2 = 9. 10 ^ 9. ten . 10 ^ -9 / 300 = 3/10 = 0.3 (m2);
now we extract the root from 0.30 = 0.54 (m) or 54 cm.
the answer is at a distance of 54 cm from the point charge.
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