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Exercise:
Two po charges q_A and q_B are placed at two neighbouring corners of a square. A third po charge q_C is placed at the centre of the square. The values are given in the figure below. center includegraphicswidth.mm#image_path:square# center abcliste abc Calculate the magnitude of the net force acting on the charge q_C. abc Determine the direction of the net force. abcliste

Solution:
abcliste abc The partial forces F_A and F_B on q_C have magnitudes F_A B k_Cfracq_A B q_Cr^ With the distance r given by r frac asqrt fracasqrt we get F_A B k_Cfracq_A B q_Ca^ The two forces are perpicular to each other. We can therefore use the Pythagorean theorem to finde the magnitude of the net force: sscFnet sqrtF_A^+F_B^ FF times kCtimesfracqca^timessqrtqa^+qb^ F approx resultFP- abc The figure below shows how the direction of the net force can be found using the known graphical addition of vectors. The absolute length of the partial force vectors is not relevant. center includegraphicswidth.mm#image_path:squar# center abcliste
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Exercise:
Two po charges q_A and q_B are placed at two neighbouring corners of a square. A third po charge q_C is placed at the centre of the square. The values are given in the figure below. center includegraphicswidth.mm#image_path:square# center abcliste abc Calculate the magnitude of the net force acting on the charge q_C. abc Determine the direction of the net force. abcliste

Solution:
abcliste abc The partial forces F_A and F_B on q_C have magnitudes F_A B k_Cfracq_A B q_Cr^ With the distance r given by r frac asqrt fracasqrt we get F_A B k_Cfracq_A B q_Ca^ The two forces are perpicular to each other. We can therefore use the Pythagorean theorem to finde the magnitude of the net force: sscFnet sqrtF_A^+F_B^ FF times kCtimesfracqca^timessqrtqa^+qb^ F approx resultFP- abc The figure below shows how the direction of the net force can be found using the known graphical addition of vectors. The absolute length of the partial force vectors is not relevant. center includegraphicswidth.mm#image_path:squar# center abcliste
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Attributes & Decorations
Branches
Electrostatics
Tags
coulomb law, point charge
Content image
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration