Why is water not suitable for a biometric fluid?
1 answer:
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Hi there!
We can approach this problem in many ways, but to show you how I arrive to the final conclusion, I will begin by solving the circuit with an assigned value for the power source.
Let's use a power source value of 6V (produces nice numbers).
Recall the following rules.
Capacitors in series:
- Voltage ADDS up.
- Charge is EQUAL across each.
- Total capacitance uses the reciprocal rule.
Capacitors in parallel:
- Voltage is EQUAL across each.
- Charge ADDS up.
- Total capacitance is simply the sum.
Solving for total capacitance:
Using rules for capacitors in series and parallel, the total capacitance of the circuit is 1.5 pF.
Thus, the total charge is:
9 pC will go through the parallel combination and the individual capacitor in series with the combination.
Since the voltage adds up, we can find the amount of voltage across the 3pF capacitor with the remaining going through the branches of the parallel combination.
Therefore, 3V goes through each branch since 6V - 3V = 3V.
Solving for the charge for each capacitor:
<u>Thus, the capacitor with the greatest charge is the 3 pF capacitor. </u>
To explain without all of the work above, the equivalent capacitance of the parallel combination (1 pF + 2pF = 3pF) is equivalent to the capacitance of the capacitor in series (3pF). Thus, the voltage across the parallel capacitors (since voltage is the same across branches in parallel) and the series capacitor is equal. However, since charge SUMS UP for capacitors in parallel, they would have less charge than the single capacitor in series.
Answer:
A. The box experiences more friction on the carpeted floor
Explanation:
Friction is the force that opposes the motion of an object when it slides along a surface. The magnitude of the friction is given by
where m is the mass of the object, g is the acceleration due to gravity, and is the coefficient of friction, which depends on the type of material of the surface: the larger this coefficient, the stronger the friction, the more difficult is to push the box along the surface. Generally, a smooth surface has a lower coefficient of friction, while a rough surface has a larger coefficient of friction.
In this case, Ethan find it easier to push the box on the marble floor, because marble is smoother than the carpet and so friction is weaker, while for the carpeted floor the coefficient of friction is larger and so the friction is stronger, making it more difficult to push the box.