ch C stands for Coulomb. 2C and 3C -2cl -4C / +5C +3C (b) In parts (i), (ii), and (i) below, an insulating sphere of radius R carries a total positive charge Q uniformly distributed throughout its volume. (i) Write an expression for the charge density of the sphere in terms of Q and R and any physical or numerical constants. R

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Chapter1: Units, Trigonometry. And Vectors
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**Problem A2:**

**(a)** What is the total electric flux through the dashed surface in the figure on the right? The charges of magnitude 1C, 4C, and 5C are inside the surface, the charges of magnitude 2C and 3C are outside of the surface, and each C stands for Coulomb.

*Diagram Explanation:*
- The diagram shows a dashed oval representing a closed surface.
- Inside this closed surface are three positive charges labeled: +1C, +4C, and +5C.
- Outside the surface are two charges: a -2C charge and a +3C charge.

**(b)** In parts (i), (ii), and (iii) below, an insulating sphere of radius \( R \) carries a total positive charge \( Q \) uniformly distributed throughout its volume.

**(i)** Write an expression for the charge density of the sphere in terms of \( Q \) and \( R \) and any physical or numerical constants.

*Graphical Element:*
- Below the text, there is a circle with radius \( R \) and a total charge \( Q \). An arrow points outward from the center to the surface of the sphere, indicating the radius \( R \).
Transcribed Image Text:**Problem A2:** **(a)** What is the total electric flux through the dashed surface in the figure on the right? The charges of magnitude 1C, 4C, and 5C are inside the surface, the charges of magnitude 2C and 3C are outside of the surface, and each C stands for Coulomb. *Diagram Explanation:* - The diagram shows a dashed oval representing a closed surface. - Inside this closed surface are three positive charges labeled: +1C, +4C, and +5C. - Outside the surface are two charges: a -2C charge and a +3C charge. **(b)** In parts (i), (ii), and (iii) below, an insulating sphere of radius \( R \) carries a total positive charge \( Q \) uniformly distributed throughout its volume. **(i)** Write an expression for the charge density of the sphere in terms of \( Q \) and \( R \) and any physical or numerical constants. *Graphical Element:* - Below the text, there is a circle with radius \( R \) and a total charge \( Q \). An arrow points outward from the center to the surface of the sphere, indicating the radius \( R \).
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