What is the form of energy that batteries store energy as

What is the time constant of a series circuit where the capacitor is 0.330μF and the resistor is 10Ω ?

PtichkaEL [24]

Answer:

$\tau=3.3*10^{-6}s$

Explanation:

Take at look to the picture I attached you, using Kirchhoff's current law we get:

$C*\frac{dV}{dt}+\frac{V}{R}=0$

This is a separable first order differential equation, let's solve it step by step:

Express the equation this way:

$\frac{dV}{V}=-\frac{1}{RC}dt$

integrate both sides, the left side will be integrated from an initial voltage v to a final voltage V, and the right side from an initial time 0 to a final time t:

$\int\limits^V_v {\frac{dV}{V} } =-\int\limits^t_0 {\frac{1}{RC} } \, dt$

Evaluating the integrals:

$ln(\frac{V}{v})=e^{\frac{-t}{RC} }$

natural logarithm to both sides in order to isolate V:

$V(t)=ve^{-\frac{t}{RC} }$

Where the term RC is called time constant and is given by:

$\tau=R*C=10*(0.330*10^{-6})=3.3*10^{-6}s$

3 0

3 years ago

Two charged particles are placed 2.0 meters apart. The first charge is +2.0 E-6 C, and the second charge is +4.0 E-6 C. What is

Anestetic [448]

The electrical force between the two charges can be calculated as +1.8×10⁻² N and its repulsive.

To find the electrical force, distance = 2 meters

charge q1 = 2×10⁻⁶ C

charge q2 = 4×10⁻⁶ C

<h3>Define coulomb's law and solve with formula.</h3>

The force of attraction or repulsion acting along a straight line between two electric charges is directly proportional to the product of the charges and inversely to the square of the distance between them.

Formula can be written as,

F = K ( q1q2 / r² )

F - electric force

k - Coulomb constant

q1, q2 - charges

r - distance of separation

Substituting the values in the formula,

F = 9 × 10⁹ Nm²/C² ( (2×10⁻⁶ C × 4×10⁻⁶ C) / (2²))

= 0.0179751

F = 1.8 × 10 ⁻² N.

As both the charges q1 and q2 are positive, the charges gets repulsive.

SO, the correct answer is Option A.

Learn more about coulomb's law,

brainly.com/question/506926

#SPJ1

8 0

2 years ago

What is the difference between magnetic flux and magnetic flux linkage?

Nimfa-mama [501]

Answer:

The difference is between number of turns, Magnetic flux linkage has number of turns while Magnetic flux lacks it

${}$

Explanation:

N is number of turns

6 0

2 years ago

A stone falls from the top of a cliff into the ocean. in the air, it had an average speed of 161616 \text{m/s}m/sm, slash, s. in

Mariulka [41]

The motion of the stone consists of two separate motions: in air, with average speed $v_1 = 16 m/s$ , and in the water, with average speed $v_2 = 3 m/s$ .
The total distance covered is 127 m, and it is the sum of the distances covered in air and in the water:
$127 m = S = S_1 + S_2$ (1)
and the total time taken is the sum of the time the stone travels in air + the time the stone travels in the water:
$12 s = t = t_1 + t_2$
Since $S=vt$ , we can rewrite (1) as
$127 = v_1 t_1 + v_2 t_2 = 16 t_1 + 3 t_2$

We have now a system of 2 equations with 2 unknown variables:
$\left \{ {{16t_1 + 3 t_2 = 127} \atop {t_1 + t_2 = 12}} \right.$
And if we solve it, we find
$t_1 = 7 s$
$t_2 = 5 s$
Which means that the stone travels for 7 seconds in air and for 5 seconds in the water.

6 0

3 years ago

Read 2 more answers

On a hot summer day in the state of Washington while kayaking, I saw several swimmers jump from a railroad bridge into the Snoho

Svetlanka [38]

Answer: part a: 19.62m

part b: 19.62 m/s

part a: 2.83 secs

Explanation:If the air resistance is ignored then the swimmer experience free fall under gravity hence

u=0

a=9.81 m/s2

t=2 secs