Answer:
V = 5.5 mL
Explanation:
The volume filled in the graduated cylinder is 12.7 mL
now when a stone is dropped into the cylinder then the volume of liquid is raised to final level of 18.2 mL
so as per the theory of given by Archimidies we can say that the volume of the object is exactly same as the volume displaced by the object
So here the volume displaced by the object is given as
so the volume of the object is given as
The time at which the current through the inductor reaches 63% of the maximum current is 4.85 s
The current is defined as the flow of the charge in the circuit is is the rate of flow of the charge.
At t=0 s there is no current in the circuit because the switch is not closed and the circuit is not complete. The current across the LR circuit increases exponentially, when the switch is closed, and becomes steady after a certain time.
Given that
The value of resistor is .120 ohm
The value of resistor is .330 ohm
The value of resistor is .240ohm
The value of the inductor is .1.6 mh
The voltage applied across the circuit is .9 V
To determine the value of effective resistance of this circuit we need to look at the circuit from inductor’s side i.e., from inductor’s side the resistors is connected in series with the parallel combination of resistors
The effective resistance of the circuit is:
…… (1)
Here, is the effective resistance of the circuit. Now substituting the values.
The current through the inductor is:
...... (2)
Here, is the current across the inductor, io is the maximum current in the circuit and L is the inductance across the inductor.
The current across the inductor is equal to the 63% of the maximum current in the circuit.
The current across the inductor is:
i=0.63io
Substitute 0.63io for 328 ohm , for 1.6 mH and for L in equation (2).
Simplify the above expression.
Taking natural log on both sides and simplify.
Thus, the time at which the current through the inductor reaches 63% of the maximum current is
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The time at which the current through the inductor reaches 63% of the maximum current is or
.
Further Explanation:
At there is no current in the circuit because the switch is not closed and the circuit is not complete. The current across the LR circuit increases exponentially, when switch is closed, and becomes steady after certain time.
Given:
The value of resistor is .
The value of resistor is .
The value of resistor is .
The value of the inductor is .
The voltage applied across the circuit is .
Concept:
To determine the value of effective resistance of this circuit we need to look at the circuit from inductor’s side i.e., from inductor’s side the resistors is connected in series with the parallel combination of resistors
and
.
The effective resistance of the circuit is:
…… (1)
Here, is the effective resistance of the circuit.
Substitute the for
,
for
and
for
in equation (1).
The current through the inductor is:
...... (2)
Here, is the current across the inductor,
is the maximum current in the circuit and
is the inductance across the inductor.
The current across the inductor is equal to the 63% or times of the maximum current in the circuit.
The current across the inductor is:
Substitute for
,
for
and
for
in equation (2).
Simplify the above expression.
Taking natural log on both sides and simplify.
Thus, the time at which the current through the inductor reaches 63% of the maximum current is or
.
Learn more:
1. Conservation of energy brainly.com/question/3943029
2. Average translational energy brainly.com/question/9078768
3. The motion of a body under friction brainly.com/question/4033012
Answer Details:
Grade: Middle School
Subject: Physics
Chapter: Current Electricity
Keywords:
Resistor circuit, LR circuit, current, current across inductor, time constant, 4.85 microsecond, 4.85 microsec, 4.85 micros, 4.85*10-6 s, 4.85*10^6 s, 4.85*10-6 sec, 4.85*10^6 sec.
Answer : The perimeter of square is, 25.28 unit.
Step-by-step explanation :
First we have to calculate the distance of SQ.
Using distance formula:
where,
d = distance between the two coordinates
x and y are the coordinates.
To calculate the distance of SQ:
As we know that SQUA is a square that means all sides are equal.
So, Side SQ = Side QU = Side UA = Side SA = 6.32
Now we have to calculate the perimeter of the square.
Perimeter of square = Side SQ + Side QU + Side UA + Side SA
Perimeter of square = 6.32 + 6.32 + 6.32 + 6.32
Perimeter of square = 25.28 unit.
Therefore, the perimeter of square is, 25.28 unit.
To find the perimeter of the square, calculate the length of one side using the distance formula and multiply it by 4.
To find the perimeter of a square, we need to know the length of one side and multiply it by the number of sides. In this case, the length of one side can be found using the distance formula, which is the square root of the sum of the squared differences in the x-coordinates and y-coordinates of the endpoints of the side. So, the length of side SQ is:
Length of SQ = √((-2 - 4)2 + (8 - 10)2) = √((-6)2 + (-2)2) = √(36 + 4) = √40 ≈ 6.32
The perimeter of the square is found by multiplying the length of one side by 4, since a square has 4 equal sides:
Perimeter = 4 * Length of SQ = 4 * 6.32 = 25.28
Therefore, the perimeter of the square to two decimal places is 25.28 units.
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