5. Let's try another one of electric field combination questions for the practice. Source particle 1 is located at coordinates (4,1) cm and source 2 at (-4,–4) cm. Source 1 has charge -3 „C while source 2's charge is 4 „C. What is the total electric field at the target location, (5,6) cm? [Enter your answer with the following format: X*i+Y*j, where you substitute the numerical values of the components along the and , directions in place of the 'X' and 'Y' in the expression. The letters i and j represent the unit vectors along different directions. Use the asterisks to denote multiplication. Make sure to

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Chapter1: Units, Trigonometry. And Vectors
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5. Let's try another one of electric field combination
questions for the practice. Source particle 1 is
located at coordinates (4,1) cm and source 2 at (-4, –4)
cm. Source 1 has charge -3 „C while source 2's
charge is 4 „C. What is the total electric field at the
target location, (5,6) cm?
[Enter your answer with the following format:
X*i+Y*j, where you substitute the numerical
values of the components along the - and ,
directions in place of the 'X' and 'Y' in the
expression. The letters i andj represent the unit
vectors along different directions. Use the
asterisks to denote multiplication. Make sure to
convert your units to standard MKS base units and
use two-decimal precision. Denote powers of ten
with engineering notation, for example 1.23 x 10-*
should be expressed as '1.23E-45'.]
total E-field -
Submit All Answers
Transcribed Image Text:5. Let's try another one of electric field combination questions for the practice. Source particle 1 is located at coordinates (4,1) cm and source 2 at (-4, –4) cm. Source 1 has charge -3 „C while source 2's charge is 4 „C. What is the total electric field at the target location, (5,6) cm? [Enter your answer with the following format: X*i+Y*j, where you substitute the numerical values of the components along the - and , directions in place of the 'X' and 'Y' in the expression. The letters i andj represent the unit vectors along different directions. Use the asterisks to denote multiplication. Make sure to convert your units to standard MKS base units and use two-decimal precision. Denote powers of ten with engineering notation, for example 1.23 x 10-* should be expressed as '1.23E-45'.] total E-field - Submit All Answers
Expert Solution
Step 1
  • Electric field due to a charge q at some distance r from it is given by:

         E=kqr2
         where, k is a constant with value 9×109 Nm2C-2

  • Position vector of -3μC charge, r1=4i^ + 1j^ 
    Position vector of 4μC charge, r2=-4i^ - 4j^
    Position vector of target location, r=5i^ + 6j^
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