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WWW.MIAMI-BEST-MATH-TUTOR.COM E-MAIL: MIAMIMATHTUTOR@GMAIL.COM CONTACT NUMBER: (786)556-4839 PHYSICS II ELECTRIC FORCE AND FIEDLS PRACTICE PROBLEMS 1.1 1. A 1.00 µC charge has coordinates , 0,0 ; a 4.00 µC charge has coordinates , 0,3.00 ; and a 5.00 µC charge has coordinates , 3.00,0 , where all distances are in cm. Find the resultant force on the 5.00 µC charge. [74 N, 74° above the negative axis WWW.MIAMI-BEST-MATH-TUTOR.COM PHYSICS.II.ELECTRIC.FORCE.AND.FIELDS.PRACTICE.PROBLEMS.1.1 PAGE 1 OF 6 2. Point charges q 5.00 nC and q 5.00 nC are on the x-axis with respective coordinates 5.00 cm and 5.00 cm. Find the electric field at three points: point a at the origin; point b on the x‐axis at 10.0 cm; and point c on the y-axis, 10.0 cm from each charge. [3.60 10 N C to the right; 1.60 10 N C directed to the left; 4.50 10 N C directed to the left WWW.MIAMI-BEST-MATH-TUTOR.COM PHYSICS.II.ELECTRIC.FORCE.AND.FIELDS.PRACTICE.PROBLEMS.1.1 PAGE 2 OF 6 3. A 2.00 nC charge has coordinates , 0, 2.00 ; a 3.00 nC charge has coordinates , 3.00,0 ; and a 5.00 nC charge has coordinates , 3.00,4.00 , where all distances are in cm. Determine magnitude for a the electric field at the origin and b the instantaneous acceleration of a proton placed at the origin. [6.24 10 N C , 72.1° above the negative axis; 5.98 10 , 72.1° above the negative WWW.MIAMI-BEST-MATH-TUTOR.COM PHYSICS.II.ELECTRIC.FORCE.AND.FIELDS.PRACTICE.PROBLEMS.1.1 PAGE 3 OF 6 axis 4. Point charges of +1.00 nC, +1.00 nC, and 2.00 nC are placed at the vertices of an equilateral triangle. Find the magnitude of the electric field at the center of the triangle, which is 10.0 cm from each vertex. WWW.MIAMI-BEST-MATH-TUTOR.COM PHYSICS.II.ELECTRIC.FORCE.AND.FIELDS.PRACTICE.PROBLEMS.1.1 PAGE 4 OF 6 5. Three point charges lie along the x axis. The positive charge q 15.0 µC is located at 2.00 m, the positive charge q 6.00 µC is located at the origin, and the resultant force acting on q is zero. What is the x coordinate of q ? [0.775 m] WWW.MIAMI-BEST-MATH-TUTOR.COM PHYSICS.II.ELECTRIC.FORCE.AND.FIELDS.PRACTICE.PROBLEMS.1.1 PAGE 5 OF 6 6. Two identical small chare spheres, each having a mass of 3.0 10 kg, hang in equilibrium as shown in the figure below. The length of each string is 0.15 m, and the angle θ is 5.0°. Find the magnitude of the charge on each sphere. [4.4 10 C] WWW.MIAMI-BEST-MATH-TUTOR.COM PHYSICS.II.ELECTRIC.FORCE.AND.FIELDS.PRACTICE.PROBLEMS.1.1 PAGE 6 OF 6