(a) The electric potential in a region is given by the equation: V V(x, y) = (2.00 × 105 —5)x³yz + (3.00 × 105 )x³ + (1.00 × 105 ——/2)2² What is the force electric field at position (30cm,-10cm, 10cm)? Give your answer in vector component notation. (b) A point charge of value q = 1.10µC has a speed of ₺ = −3.23 × 10¹ ™ƒ – 1.31 × 104 ™ Ê when it is at the point (0.00 cm, 0.00 cm, 0.00 cm). What is the magnetic field vector in component form at position (30cm,- 10cm, 10cm)? (c) If a region exists with the potential from part (a) and the charge from part (b) what is the net force on a 65.0 mC charge at point (30cm, -10cm, 10cm)moving at speed v = 2.20 × 106 +1.30 × 106? S

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(a) The electric potential in a region is given by the equation:
V(x, y) = (2.00 × 1055)x³yz + (3.00 × 105 )x³ + (1.00 × 10³ ,
V
mz)z²
What is the force electric field at position (30cm,- 10cm, 10cm)? Give your answer in vector
component notation.
(b) A point charge of value q = 1.10μC has a speed of = -3.23 × 104 - 1.31 × 104 k
when it is at the point (0.00 cm, 0.00 cm, 0.00 cm). What is the magnetic field vector in
component form at position (30cm, - 10cm, 10cm)?
(c) If a region exists with the potential from part (a) and the charge from part (b) what is the net
force on a 65.0 mC charge at point (30cm, - 10cm, 10cm)moving at speed ✓ =
2.20 x 106 + 1.30 × 106™ ?
S
Transcribed Image Text:(a) The electric potential in a region is given by the equation: V(x, y) = (2.00 × 1055)x³yz + (3.00 × 105 )x³ + (1.00 × 10³ , V mz)z² What is the force electric field at position (30cm,- 10cm, 10cm)? Give your answer in vector component notation. (b) A point charge of value q = 1.10μC has a speed of = -3.23 × 104 - 1.31 × 104 k when it is at the point (0.00 cm, 0.00 cm, 0.00 cm). What is the magnetic field vector in component form at position (30cm, - 10cm, 10cm)? (c) If a region exists with the potential from part (a) and the charge from part (b) what is the net force on a 65.0 mC charge at point (30cm, - 10cm, 10cm)moving at speed ✓ = 2.20 x 106 + 1.30 × 106™ ? S
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