36. (II) Two point charges, Q -25 µC and Q2 = +45 µC, are separated by a distance of 12 cm. The electric field at the point P (see Fig. 21-58) is zero. How far from Q, is P? %3D 12 cm Q2 FIGURE 21-58 Problem 36. -25 µC +45 µC

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**Problem 36.**

Two point charges, \( Q_1 = -25 \, \mu C \) and \( Q_2 = +45 \, \mu C \), are separated by a distance of 12 cm. The electric field at the point P (see Fig. 21-58) is zero. How far from \( Q_1 \) is P?

**Figure 21-58 Explanation:**

- This is a horizontal line diagram, depicting two charges:
  - \( Q_1 \) is positioned at a point labeled with a cyan dot, and has a charge of \(-25 \, \mu C\).
  - \( Q_2 \) is positioned to the right of \( Q_1 \) with a pink dot, and has a charge of \(+45 \, \mu C\).
- The separation between \( Q_1 \) and \( Q_2 \) is labeled as 12 cm.
- Point P is indicated to the left of \( Q_1 \), marked with a black dot.
- The distance from Point P to \( Q_1 \) is labeled as \( x \). 

The problem asks to find the value of \( x \) where the electric field at point P is zero.
Transcribed Image Text:**Problem 36.** Two point charges, \( Q_1 = -25 \, \mu C \) and \( Q_2 = +45 \, \mu C \), are separated by a distance of 12 cm. The electric field at the point P (see Fig. 21-58) is zero. How far from \( Q_1 \) is P? **Figure 21-58 Explanation:** - This is a horizontal line diagram, depicting two charges: - \( Q_1 \) is positioned at a point labeled with a cyan dot, and has a charge of \(-25 \, \mu C\). - \( Q_2 \) is positioned to the right of \( Q_1 \) with a pink dot, and has a charge of \(+45 \, \mu C\). - The separation between \( Q_1 \) and \( Q_2 \) is labeled as 12 cm. - Point P is indicated to the left of \( Q_1 \), marked with a black dot. - The distance from Point P to \( Q_1 \) is labeled as \( x \). The problem asks to find the value of \( x \) where the electric field at point P is zero.
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