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Introductory Physics Volume Two

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182 Hints A<br />

3.16 Compute the total charge that can flow from the battery. One<br />

kilowatt hour is a unit of energy 3600kJ.<br />

3.17 From the specific heat of water you can find the energy required<br />

and from this you can find the power and thus from the known voltage<br />

you can find the current and then resistance.<br />

3.18 The internal resistance acts like it is in series with the external<br />

resistor and and ideal voltage source.<br />

3.19 Reduce the system in stages. Look for pairs of resistors in the<br />

system that are in parallel or in series, combine this pair, then repeat<br />

until there is only one resistor left.<br />

3.23 Write out all of the equations and then solve.<br />

3.25 Connect the circuit to a voltage supply V S and using Kirchhoff’s<br />

rules for the resultant circuit you can find the charge on each capacitor.<br />

This will in turn allow you to compute the total charge drawn form the<br />

power supply and thus the effective capacitance of the system.<br />

3.26 Use Kirchhoff’s rules<br />

3.27 Use Kirchhoff’s rules<br />

3.28 The bulb that draws the most power is brighter.<br />

3.29 The appliances are connected in parallel to the voltage supply.<br />

3.30 Use the result of the other problem in which you computed the<br />

resistance of a 12 gauge copper wire.<br />

3.31 The amount of heating is proportional to the power dissipated<br />

by the wire per length.<br />

3.32 When the capacitor is fully charged, no current flows into it.<br />

4.1<br />

(a) Notice that ⃗ dl has length Rdθ and is perpendicular to the radius<br />

vector.<br />

4.2 Compute the force on each of the fours section of wire first. Recall<br />

that torque is ⃗τ = ⃗r × ⃗ F , where ⃗r points from the axis of rotation to<br />

the point at which the force is applied.<br />

4.5 For any radius it will take a time 2πm/qB<br />

4.6 Plug the given values into the Lorentz force formula and do the<br />

cross product.<br />

4.7 The magnetic field of the earth points roughly northward.<br />

4.8 Don’t forget that the electron is negatively charged.<br />

4.9 This question is asking you to relate acceleration and force so<br />

start with Newton’s second law.

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