We are given that
Current= I=4.3 A
Resistivity of copper wire of
We have to find the length of wire must she use.
We know that
Using the formula
Hence, she must use the length of wire =8.2 m
Two capacitors with C1 = 5.0 µF and C2 = 20.0 µF are initially uncharged and then connected in series to a battery. If neither capacitor can withstand a potential difference greater than 80 volts without breakdown, what is the maximum value of the battery emf that can be sustained by the circuit?
You haver to apply Kirchhoff’s Voltage Law for the given series circuit:
Let Vemf, VC1, VC2 represent the Voltage of the battery, the capacitor C1 and the capacitor C2 respectively.
Vemf = VC1 + VC2
Two capacitors in series can be expressed as one capacitor with a capacitance calculated as follow:
Solving for C and replacing the values of C1 and C2:
The voltage divider formula for two capacitors in series is:
Where Vs is the voltage of the battery, C is the equivalent capacitance of the capacitors in series and VCn is the voltage of one of the capacitors.
In this case:
Solving for Vemf:
The voltage (potential difference) of the circuit is proportional to the potencial difference of the capacitor. Therefore if the maximum value of the potential difference of any capacitor is 80 volts then the maximum value of Vemf is obtained using the maximum value of the voltage of the capacitor with the smaller capacitance (because that way you guarantee that the potential difference is not greater than 80 V for either capacitor. The reason is that the voltage of a capacitor is inversely proportional to its capacitance, so the capacitor with the greater value of voltage is C1)
Compared to the volume of earth the volume the sun is approxately?
Answer: 1,409,272,569,059,860,000 cubic kilometers.
Explanation: According to National Geographic (Turn up the Volume) , the sun has a volume of 1,409,272,569,059,860,000 cubic kilometers, whereas the Earth’s volume is 1,083,206,916,846 cubic kilometers. This makes the sun 1,301,019 times larger in volume than the Earth.
What might cause a sand dune to become smaller
What is the name for the portion of a star's life cycle when it is using hydrogen for fuel? A. red giant B. protostar C. white dwarf D. main sequence
Which of the following statements is true about the taiga biome, but not the alpine?. a.. Temperatures are below freezing during the winter.. b.. Precipitation can average 12 inches annually.. c.. It has two distinct seasons.. d.. It is characterized by coniferous trees..
Answer: d. It is characterized by coniferous trees.
The alpine biome are the biomes that are typically found in the high altitude. It is characterized by the typically lower temperatures, experiences long winter season, it receives rainfall of 30cm annually. Taiga is the coldest biome of the earth. It also exhibit lower precipitation like alpine. The main difference between taiga and alpine biome is that taiga typically exhibit heavy snow fall and growth of the coniferous trees such as pines, larches and spruce.
What do you think your weight would be if you were floating in space a long way from any planets? Explain your answer.
Which statement best describes a solid?
A lamp draws a current of 0.50 A when it is connected to a 120 V source? What is the resistance of the lamp?
For this case we have that by definition, Ohm's Law states that:
V: It's the voltage
I: It's the current
R: It's the resistance
According to the data we have to:
Clearing the resistance formula we have:
So, the resistance is 240 ohms!
With a time of 6.92 s, Irina Privalova of Russia holds the women's record for running 60 m. Suppose she ran this distance with a constant acceleration,
so that she crossed the finish line with a speed of 17.34 m/s. Assuming she
started at rest, what was the magnitude of Privalova's average acceleration?
the magnitude of Privalova's average acceleration is 2.51 m/s² if Irina Privalova of Russia holds the women's record for running 60 m.What is linear acceleration?
It is defined as the rate of change in linear velocity with respect to time. It is also known as linear acceleration.
It is given that:
With a time of 6.92 s, Irina Privalova of Russia holds the women's record
for running 60 m.
Suppose she ran this distance with a constant acceleration so that she crossed the finish line with a speed of 17.34 m/s.
As we know,
Average acceleration = change of speed/time for the change
The change of speed = 17.34 m/s - 0
The change of speed = 17.34 m/s
Average acceleration = 17.34/6.92
Average acceleration = 2.51 m/s²
Thus, the magnitude of Privalova's average acceleration is 2.51 m/s² if Irina Privalova of Russia holds the women's record for running 60 m. Suppose she ran this distance with a constant acceleration.
Learn more about angular acceleration here:
Average acceleration = (change of speed) / (time for the change)
Change of speed = (speed at the end) - (speed at the beginning)
Change of speed = (17.34 m/s) - (0) = 17.34 m/s
Average acceleration = (17.34 m/s) / (6.92 s)
Average acceleration = 2.51 m/s²