Question 1

Given the vector diagram shown, if $$\vec{B}$$ makes an angle $$	heta$$ with the x-axis, which of the following correctly expresses the y-component $$B_y in $$terms of $$B$$ and $$	heta$$?

Accepted Answer

$$B_y = B \sin 	heta$$

Question 2

Two insulating rods are each rubbed with silk and then brought near each other. What is the result and why?

Accepted Answer

Strong repulsion $$\rightarrow$$ electrons were removed from each rod

Question 3

Three point charges $$+q$$, $$-2q$$, and $$+3q$$ are placed in a line, each separated by a distance $$d as $$shown. What is the magnitude and direction of the net force on the $$+q$$ charge?

Accepted Answer

$$\frac{5kq^2$}{4d^2$}$$, right

Question 4

A $$+1.0\ \mathrm{nC}$$ point charge is located at $$x = 0$$ and a $$+4.0\ \mathrm{nC}$$ point charge is at $$x = 3.0\ \mathrm{cm}. $$Where along the x-axis is the electric field equal to zero?

Accepted Answer

Somewhere $$x \u003e 3.0\ \mathrm{cm}$$

Question 5

Four very large, flat, conducting sheets are kept parallel to each other and carry surface charge densities $$+\sigma$$, $$-\sigma$$, $$+\sigma$$, and $$+\sigma. $$What is the magnitude and direction of the electric field at point $$P$$ between the two positively charged sheets on the right?

Accepted Answer

$$E = \frac{\sigma}{\$$epsilon_0$$}$$, to the right

Question 6

Three point charges $$+q$$, $$-q$$, and $$+q$$ are at the corners of an equilateral triangle with side length $$s. If $$the point charges started very far apart, how much work would you have to do to arrange them like this?

Accepted Answer

$$+\frac{kq^2$}{s}$$

Question 7

A proton travels along the path shown by the dashed line within a uniform electric field $$\vec{E}$$ that points to the right. What can we say about the work done on the proton by the electric field, $$W_{elec}$$?

Accepted Answer

$$W_{elec} \u003e 0$$

Question 8

Point charges $$q_1 = +1.0$$\ \mathrm{nC}$$ at (2.0$$\ \mathrm{cm}, 4.0\ \mathrm{cm})$$, q_2$ = -1.0\ \mathrm{nC} at$$ $$(2.0\ \mathrm{cm}, 1.0\ \mathrm{cm})$$, and $$q_3 = -2.0$$\ \mathrm{nC}$$ at (6.0$$\ \mathrm{cm}, 1.0\ \mathrm{cm})$$. What is the electric potential at point P$ at (6.0$$\ \mathrm{cm}, 4.0\ \mathrm{cm})$$?

Accepted Answer

$$-550\ \mathrm{V}$$

Question 9

Six capacitors with capacitance $$C$$ each are connected with a $$4C$$ capacitor and a $$6C$$ capacitor as shown. What is the equivalent capacitance of this arrangement?

Accepted Answer

$$\frac{32}{3}C$$

Question 10

Two conducting wires made of the same material have the same length $$L$$, but the thicker one has twice the cross-sectional area of the thinner one: $$2A$$ versus $$A. If we $$connect each wire one at a time to an EMF source with constant terminal voltage, which wire will carry the greater current?

Accepted Answer

The thicker wire

Question 11

Three equal resistance resistors, each with $$R = 12\ \Omega$$, are connected in parallel with an EMF source, which provides $$\mathcal{E} = 9.0\ \mathrm{V}$$, as shown. What current is measured by the ideal ammeter shown?

Accepted Answer

$$1.5\ \mathrm{A}$$

Question 12

Each of the resistors in the arrangement shown has resistance $$5.00\ \Omega. $$What is the total equivalent resistance of this arrangement?

Accepted Answer

$$12.5\ \Omega$$

Question 13

In a circuit, all four of the resistors have the same resistance: $$R = 4.0\ \Omega$$ and are connected to a $$12\ \mathrm{V}$$ EMF. What is the current flowing through the resistor indicated with the arrow?

Accepted Answer

$$0.75\ \mathrm{A}$$

Question 14

A portion of a direct current circuit has five different currents with their directions shown. If $$i_1 = 6.5$$\ \mathrm{A}$$, i_2$ = 2.1\ \mathrm{A}$$, $$i_3 = 0.80$$\ \mathrm{A}$$, and i_4$ = 1.4\ \mathrm{A}$$, what is the fifth current indicated by the question mark?

Accepted Answer

$$3.8\ \mathrm{A}$$

Question 15

A positive point charge is moving in a region of uniform magnetic field $$\vec{B}$$ pointed into the page, as shown. The point charge feels a force to the left. What could be the direction of the point charge’s instantaneous velocity?

Accepted Answer

Towards the bottom of the page

Physics with Calculus: Step-by-Step Study Guidance

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