In physics, Ohm's law says that current through a wire, $I$, is directly proportional to voltage, $V$, and inversely proportional to resistance, $R$: \[I=\frac{V}{R}.\]It's also true that resistance is directly proportional to the length of the wire. We have a piece of wire. We pass $50$ volts through this wire and measure $200$ milliamps of current. If I cut the wire in half and pass $300$ volts through it, how many milliamps of current will I measure?

I =2.4 A

Step-by-step explanation:

Ohms law

I = V/R

50 V and 200 mA

The resistance is

200 * 10 ^-3 = 50/ R

R = 50 / 200 ^10^-3

R = 250

The resistance is directly proportional to the length of the wire

R = k * l  where k is the constant and l is the length

250  =   k * l

k = 250 / l

Now we cut the wire in 1/2 so the length is 1/2 l

R = 250/l * 1/2 l

R = 125

Back to Ohms law

I = V/R

I = 300  / 125

I =2.4 A

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

66.666666667%

step-by-step explanation:

divide 150 by 100

divide 100 by 1.5

there you go!

decreased by 33.333333334%