When a test charge qo = 8 nC is placed at the origin, it experiences a force of 8 x 104 N in the positive y direction. (a) What is the electric field at the origin? N/C j (b) What would be the force on a charge of -4 nC placed at the origin? |Nj (c) If this force is due to a charge on the y axis at y = 3 cm, what is that charge (magnitude and sign)? nc

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When a test charge \( q_0 = 8 \, \text{nC} \) is placed at the origin, it experiences a force of \( 8 \times 10^{-4} \, \text{N} \) in the positive \( y \) direction.

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(a) What is the electric field at the origin?
\[ \underline{\phantom{N/C \, \hat{\jmath}}} \, \text{N/C} \, \hat{\jmath} \]

(b) What would be the force on a charge of \(-4 \, \text{nC}\) placed at the origin?
\[ \underline{\phantom{N \, \hat{\jmath}}} \, \text{N} \, \hat{\jmath} \]

(c) If this force is due to a charge on the \( y \) axis at \( y = 3 \, \text{cm} \), what is that charge (magnitude and sign)?
\[ \underline{\phantom{\text{nC}}} \, \text{nC} \]
Transcribed Image Text:When a test charge \( q_0 = 8 \, \text{nC} \) is placed at the origin, it experiences a force of \( 8 \times 10^{-4} \, \text{N} \) in the positive \( y \) direction. --- (a) What is the electric field at the origin? \[ \underline{\phantom{N/C \, \hat{\jmath}}} \, \text{N/C} \, \hat{\jmath} \] (b) What would be the force on a charge of \(-4 \, \text{nC}\) placed at the origin? \[ \underline{\phantom{N \, \hat{\jmath}}} \, \text{N} \, \hat{\jmath} \] (c) If this force is due to a charge on the \( y \) axis at \( y = 3 \, \text{cm} \), what is that charge (magnitude and sign)? \[ \underline{\phantom{\text{nC}}} \, \text{nC} \]
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