Electric Field Strength problem.

AI Thread Summary
The discussion centers on calculating the electric field strength at point X due to two point charges, A (+8μC) and B (-25μC), located 45nm apart. The calculated electric field strength due to charge A alone is initially miscalculated, yielding an incorrect value of 1.12 x 10^21 N/C instead of the expected 1.2 x 10^9 N/C. The electric field due to charge B is also miscalculated, leading to confusion in the overall electric field strength at point X, which should be 1.32 x 10^9 N/C. Participants note that the combined field must consider the vector nature of electric fields, as one charge is positive and the other is negative. Clarification on the calculations and the vector sum approach is sought to resolve the discrepancies.
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Homework Statement


2 point charges are situated 45nm apart in a vacuum. Charge A is +8μC and charge B is -25μC. X is a point 8nm from A.

Calculate the electric field strength at point X only due to A (Ans is 1.2 x 10^9 N/C)
Calculate the overall electric field strength at point X due to A and B. (Ans is 1.32 x 10^9 N/C)

Homework Equations


E = \frac{1}{4\pi\epsilon} X \frac{Q}{d^{2}}


The Attempt at a Solution


Electric field strength due to A.
\frac{1}{4\pi(8.9X10^-12)} X \frac{8X10^-6}{(8X10^-9)^{2}}

= 1.117X10^21
= 1.12X10^21 N/C


Electric Field Strength due to B.
E = \frac{1}{4\pi(8.9X10^-12)} X \frac{25X10^-6}{(37X10^9)^{2}}

= 1.632X10^20
= 1.63X10^20 N/C




1.12X10^21 + 1.63X0^20 = 1.283X10^21 N/C


Where am I going wrong?
I would appreciate any help.
 
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It doesn't look like you've done anything wrong. The "answers" given seem to be well out of whack in terms of order of magnitude.
 
I don't see anything wrong with a and b either but the combined field is a vector sum and one of the charges is negative and the other, positive.
 
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