If unknown capacitance C1, C2, C3 and C4 are connected in series to one another, their equivalent capacitance of the circuit will be expressed as shown

$\frac{1}{C_t} = \frac{1}{C_1} +\frac{1}{C_2} +\frac{1}{C_3} +\frac{1}{C_4} \\$

Given the capacitance's 3.0 pF, 2.0 pF, 5.0 pF and X pF connected in series to each other. If the equivalent capacitance of the circuit is 0.83 pF, then to get X, we will apply the formula above;

$\frac{1}{0.83} = \frac{1}{3.0} +\frac{1}{2.0} +\frac{1}{5.0} +\frac{1}{C_4} \\\\\\1.205 = 0.333+0.5+0.2+\frac{1}{C_4} \\\\1.205 = 1.033 + \frac{1}{C_4} \\\\\frac{1}{C_4} = 1.205-1.033\\\\\frac{1}{C_4} = 0.172\\\\C_4 = \frac{1}{0.172}\\ \\C_4 = 5.8pF\\\\$

C₄ ≈ 6pF

Hence the value of the X capacitor is approximately 6pF

8 0

3 years ago

If 0.250 L of a gas weighs 0.308 g under normal conditions of pressure and temperature, what is its molecular weight?

Phantasy [73]

Answer:

=28

Explanation:

.25/22=0,11 mol

0.308/0,11=28

8 0

3 years ago

A flare is launched from a boat. The height, , in meters, of the flare above the water is approximately modelled by the function

Tpy6a [65]

Answer:

10 seconds

Explanation:

If the height is modeled by the function $h(t)=-15t^{2} +150t$ , then the seconds it takes to reach the water (when the height equals 0) is modeled by the following.

$0=-15t^{2} +150t\\0=-15t*(t-10)\\\\t=0\\t=10$

6 0

3 years ago