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in a circuit a 12V battery with internal resistance of 2ohm is connected to three resistors with resistances of 10.6, 4 and 7 ohms. resistors are serial. two diodes one Si and the other Ge connected parallel to each other. This set of diodes is connected serially to the above circuit between the 7 and 4 ohm resistors. Vbe of Si is 0.4V and Vbe of Ge is 0.2V. Find the electric current which flows through the circuit and the voltages across each diode.
A high-voltage power line carries a current of about 1000 A. The formula for resistance
in a conductor is linear, so over large distances the net resistance of the power line
can be large. If the power is generated at a station at a typical distance from a home
where the electricity is delivered, the resistance of the transmission line is 24.3 Ω. Using
this information, determine the power lost between the station and the home. If the
potential at the power station is 750 kV, what is the power at the station? Determine
the ratio of these two numbers.
A certain college student and his roommate just had to listen to Pink Floyd’s The Wall
from start to finish. This sort of endeavor entails frequent trips to the stereo to turn
up the volume, particularly when it’s fun to watch the speakers shake during great
songs with awesome guitar solos.2
If the speakers could handle 50 W of power and had
a resistance of 4.0 Ω, what amperage fuse should have been placed in the circuit to
prevent blowing out the speakers?
In The Friendship Contraction episode1 of “The Big Bang Theory,” Penny confirms
with Sheldon and Leonard that the power has gone out. She had been concerned
because last month she “sent the electric company a Starbucks gift card, an apology
note,” and a few pictures. If the cost of electricity was $0.17 per kWh and the Starbucks
gift card had a value of $10 (and we don’t consider the value of the pictures), for how
many hours could Penny have left her TV on if the TV requires 50.0 watts of power?
My office is pretty cold. I run a space heater, which has a resistance of 15.0 Ω and
runs off the wall outlet which supplies a voltage of 120 V. If the heater runs for one
hour a day for six weeks, what is the net cost of the electricity that it uses? Assume
that the cost of electricity is $0.13 per kWh.
A Tungsten filament for a light bulb is found to have a resistance of 0.25 Ω when
measured at a temperature of 20◦ C. When the light bulb has been on for a substantial
period of time, the filament has heated up and the resistance is found to be 3.50 Ω.
What is the temperature of the heated filament? Tungsten’s temperature coefficient
of resistivity is 4.5 × 10−3 per degree C, and do not consider thermal expansion of the
filament.
When I arrived at Stevenson, my new employee gift bag from the School of the Sciences
included a cute LED flashlight. It is powered by a set of 3 AAA batteries so the LED
bulbs are supplied a potential difference of 4.50 V. If the batteries are rated to provide
a lifetime of about 1.20 Ah (ampere hours) and the LED bulbs have a net resistance
of 125 Ω, for how many hours can the LED flashlight operate? FYI, I gave it to my
son and he still uses it.
You were given a pendant on Valentine’s Day, and you wonder whether it is worth
anything more than emotional value. You attach it to a 1.50 V battery along with an
ammeter in series so that you can measure the current through the pendant, which
turns out to be a whopping 4.72×105 A. Based on the pendant being 2.00 cm long and
having an assumed cross section of 1.00 cm2
, determine the resistivity of the pendant. Determine what substance the pendant is made from, assuming was done at a temperature of 20.0 degrees Celsius.
Clear! A defibrillator uses a 250 µF capacitor charged to a potential difference of
1000 V. If all the charge on the capacitor is delivered to the patient during a time
interval of 5.0×10−2
s, determine the resistance associated through the patient’s chest.
Did you dare touch the Van de Graaff? The maximum charge that our classroom Van
de Graaff generator could hold on its dome was about 5 µC. Assume that when you get
shocked by the generator, all of this charge passes through you in just one-hundredth
of a second (1.00 × 10−2
s). (a) Calculate the associated average current for getting
shocked by the Van de Graaff generator, and express your answer in units of mA
(milli-amperes). Now, let’s say you are feeling bold and opt to lick a 9 V battery. The
resistance for wet skin is about 2000 Ω. (b) Calculate the associated current through
your tongue when you place it across the terminals of a 9 V battery, and express your
answer in the same units of mA.
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