2-a- In a certain dielectric for which Er = 3, the polarization is given by P = 500 op nc/m² • Assume this dielectric is pzzm, ocz clom, P= 1 ale the culindero C- d- Find the total bound volume charge. e- Find E and B at P=lma

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2 d,e

**Problem Statement:**

**2-a**: In a certain dielectric for which \( \varepsilon_r = 3 \), the polarization is given by 
\[
\mathbf{P} = \frac{50}{p} \hat{p} \, \text{nC/m}^2
\]
Assume this dielectric is \( p = 2m, 0 < z < 1 \, \text{m} \), and is in the shape of a cylinder.

**Tasks:**

c. Find the bound surface charge.

d. Find the total bound volume charge.

e. Find \( \mathbf{E} \) and \( \mathbf{D} \) at \( \rho = 1m \).
Transcribed Image Text:**Problem Statement:** **2-a**: In a certain dielectric for which \( \varepsilon_r = 3 \), the polarization is given by \[ \mathbf{P} = \frac{50}{p} \hat{p} \, \text{nC/m}^2 \] Assume this dielectric is \( p = 2m, 0 < z < 1 \, \text{m} \), and is in the shape of a cylinder. **Tasks:** c. Find the bound surface charge. d. Find the total bound volume charge. e. Find \( \mathbf{E} \) and \( \mathbf{D} \) at \( \rho = 1m \).
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Step 1: We need to determine total bound volume charge and E and D

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