Answer:
1. Current in the circuit; 1.2 Amps
See attached image for the circuit.
2. Equivalent resistor = 3 Ω
I = 0.3 amps
Potential difference across the battery terminals is: 0.9 V
Explanation:
Part 1.
The internal resistance of 2 ohms is simply added to the circuit in series as shown in the attached image.
Since now we have two resistances in series (2 ohms and 3 ohms) the total of this series combination is 5 ohms. Using Ohm's law, we can derive the current running through the circuit:
![V=I\,\,R\\6\,V=I\,(5\,\Omega)\\I=\frac{6}{5} \,amps\\I=1.2\,\,amps](https://tex.z-dn.net/?f=V%3DI%5C%2C%5C%2CR%5C%5C6%5C%2CV%3DI%5C%2C%285%5C%2C%5COmega%29%5C%5CI%3D%5Cfrac%7B6%7D%7B5%7D%20%5C%2Camps%5C%5CI%3D1.2%5C%2C%5C%2Camps)
Part 2.
Now we have a 1.5 V battery with a 2 ohm internal resistance, connected to two identical 6 ohm resistors.
a. The equivalent resistance presented by the two resistors in parallel:
![\frac{i}{R_e} =\frac{1}{6\,\Omega} + \frac{1}{6\,\Omega} =\frac{1}{3\,\Omega} \\R_e=3\,\Omega](https://tex.z-dn.net/?f=%5Cfrac%7Bi%7D%7BR_e%7D%20%3D%5Cfrac%7B1%7D%7B6%5C%2C%5COmega%7D%20%2B%20%5Cfrac%7B1%7D%7B6%5C%2C%5COmega%7D%20%3D%5Cfrac%7B1%7D%7B3%5C%2C%5COmega%7D%20%5C%5CR_e%3D3%5C%2C%5COmega)
b. Now the circuit can be represented by a 2 ohm resistor (internal battery resistance) plus a 3 ohm parallel equivalent resistor in series. That is a 5 ohm total resistance. Then Ohm's law becomes:
![V=I\,\,R\\1.5\,V=I\,(5\,\Omega)\\I=\frac{1.5}{5} \,amps\\I=0.3\,\,amps](https://tex.z-dn.net/?f=V%3DI%5C%2C%5C%2CR%5C%5C1.5%5C%2CV%3DI%5C%2C%285%5C%2C%5COmega%29%5C%5CI%3D%5Cfrac%7B1.5%7D%7B5%7D%20%5C%2Camps%5C%5CI%3D0.3%5C%2C%5C%2Camps)
c. The potential difference across the battery terminals must be the battery's EMF minus the potential drop in its internal resistance:
![1.5\,V - (0.3\,\,amps)\,(2\,\Omega)=(1.5-0.6)\,V=0.9\,V](https://tex.z-dn.net/?f=1.5%5C%2CV%20-%20%280.3%5C%2C%5C%2Camps%29%5C%2C%282%5C%2C%5COmega%29%3D%281.5-0.6%29%5C%2CV%3D0.9%5C%2CV)
![speed_{avg} = \frac{Σ\:distance}{ total\: time}](https://tex.z-dn.net/?f=speed_%7Bavg%7D%20%3D%20%20%5Cfrac%7B%CE%A3%5C%3Adistance%7D%7B%20total%5C%3A%20time%7D)
So, according to the question:
distance = 90 miles
time = 1h 45min + 15 min + 1h = 3h
![Therefore:\\ speed_{avg} = \frac{90}{3} mph \\ = \boxed {30 \: mph}](https://tex.z-dn.net/?f=Therefore%3A%5C%5C%20speed_%7Bavg%7D%20%3D%20%20%5Cfrac%7B90%7D%7B3%7D%20mph%20%5C%5C%20%20%3D%20%5Cboxed%20%7B30%20%5C%3A%20mph%7D)
Phase unbalance causes three-phase motors to operate at temperatures higher than nameplate ratings and, therefore, the motor cannot deliver its rated horsepower.
<h3>What is an electric vehicle (EV)?</h3>
An EV stands for an electric vehicle. Electric vehicles (EVs) are autos that are powered totally or partially by electricity.
Electric cars are extremely cost-effective to run because they have fewer moving parts to maintain and use little to no fossil fuels (petrol or diesel).
Hence, three-phase motors operating with phase imbalance run at temperatures over nameplate limits, which prevents the motor from producing its rated horsepower.
.
To learn more about electric vehicles here,
brainly.com/question/27434548
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When a cloud collapses it forms<span> a </span>star<span> and disk</span>
Answer:
4.35x10¹⁷s is the age of the universe
Explanation:
The age of the universe is 13.8 billion years.
As we know, 1 billion years = 1x10⁹years
13.8 billion years * (1x10⁹years/ 1 billion years) = 13.8x10⁹ years.
As 1 year = 3.154x10⁷ seconds, 13.8x10⁹ years are:
13.8x10⁹ years * (3.154x10⁷ seconds / 1 year) =
<h3>4.35x10¹⁷s is the age of the universe</h3>