Homework V - PHY2061Due in Class Tuesday Feb. 9 – no late homework accepted dueto test on Thursday Feb. 11 on Chapters 25-321.) a.) Three resistors, R1=10 Ω, R2=20 Ω, R3=30 Ω, are arranged in series. What is the total equivalent resistance of all three resistors?------------------------------------- R1 R2 R3b.) Now the same three resistors are arranged in parallel, what is their total equivalent resistance? c.) Now the same three resistors are arranged with R1 in series with R2 and R3 arranged in parallel, what is the equivalent resistance?2.) a.) A current of 1 Ampere (=1 Coulomb/sec) is passed thru the series resistors in 2 a.) above, starting at some voltage Vleft on the left, dropping to V1-2 between the first and second resistors, and dropping to V2-3 between the second and third resistors, and finally to V=0 on the right. What is Vleft, V1-2, and V2-3? (If this is unclear, Fig. 31-7 in the text might be a help. Remember, V=iR)b.) In 2 c. above, assuming a current of 1 A flows into the left of R1 and out of the circuit on the right, what is the voltage to the right of R1 before the 1 A current splitsin the parallel network? 3. In 2 c.) above, what is the value (in Watts or J/s) of the energy loss (‘Joule heating’) in resistor R3?4.) In the demo done in class, in the RC circuit the resistor was 20 Ω and the capacitor was 1 Farad. Using the 6 V battery, how long did it take the capacitor to charge up to 3 V, in seconds? 3 sig figs please.5.) Assume the field near a particular superconducting magnet is 1 Tesla. An alpha particle (charge = +2e = + 2 * 1.602 10-19 C) moves through this field with velocity=105 m/s. The mass of the alpha particle is 6.7 10-27 kg. What is the acceleration felt by the alpha particle due to the magnetic deflecting force, in m/s2?6.) We learn from the text that, according to the sign of the Hall effect voltage, conduction in the element Be (beryllium) is due to positively charged carries (called ‘holes’.) In a 10 T magnetic field perpendicular to the plane of a strip of Be that is 1 mm thick, and 100 A current moving thru the strip, what is the voltage difference ∆VHall across the width of the strip due to the Hall effect? The density of ‘hole’ carries in Be is n=2.6
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