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Worksheet: Calculating the Net Electrostatic Force from Multiple Charges

Q1:

Point charges ๐‘ž = + 5 0 1 ยต C and ๐‘ž = โˆ’ 2 5 2 ยต C are placed 1.0 m apart. What is the magnitude of the force on a third charge ๐‘ž = + 2 0 3 ยต C placed midway between and ๐‘ž 1 and ๐‘ž 2 ?

Q2:

Point charges ๐‘„ = 0 . 0 0 5 0 1 n C and ๐‘„ = 0 . 0 2 0 2 n C are fixed at r i j 1 = ( 9 . 0 0 + 3 . 5 0 ) m and r i j 2 = ( 6 . 5 0 โˆ’ 2 . 0 0 ) m respectively. What is the magnitude of the electric force on ๐‘„ 2 due to ๐‘„ 1 ?

  • A 4 . 5 ร— 1 0 โˆ’ 1 4 N
  • B 3 . 2 ร— 1 0 โˆ’ 1 4 N
  • C 3 6 ร— 1 0 โˆ’ 1 4 N
  • D 2 . 5 ร— 1 0 โˆ’ 1 4 N
  • E 0 . 6 7 ร— 1 0 โˆ’ 1 4 N

Q3:

Point charges ๐‘„ = 3 . 0 1 ยต C and ๐‘„ = 6 . 0 2 ยต C have the position vectors r i j k 1 = ( 3 . 0 0 โˆ’ 1 . 0 0 + 6 . 0 0 ) m and r i j k 2 = ( 7 . 0 0 + 6 . 0 0 โˆ’ 3 . 0 0 ) m respectively. What magnitude force is exerted by ๐‘„ 2 on ๐‘„ 1 ?

  • A 2 3 ร— 1 0 โˆ’ 2 N
  • B 2 . 3 ร— 1 0 โˆ’ 2 N
  • C 1 1 ร— 1 0 โˆ’ 4 N
  • D 1 . 2 ร— 1 0 โˆ’ 3 N
  • E 9 6 ร— 1 0 โˆ’ 3 N

Q4:

What is the force on the 2.0 ยตC charge placed at the center of the square shown?