A wire in a circuit carries a current of 0.9 A. Calculate the quantity of
charge that flows through the wire in 50 s. Choose the correct unit of
charge with your answer.
45 A
45C
45 J
O 0.018 A
O 0,018
0.018 J
O 55.6 A
55.6 C
55.6J

Respuesta :

Answer:

We conclude that the quantity of  the charge that flows through the wire in 50 s will be 45 C.

Explanation:

Given

  • Current I = 0.9 A
  • Time t = 50 s

To determine

We need to find the quantity of  the charge that flows through the wire in 50 s.

Important Tip:

A current of 1 Ampere = 1 Coulomb  of charge flowing in 1 second

Using the formula involving charge and current

[tex]I=\frac{Q}{t}[/tex]

where:

  • [tex]I[/tex] represents the current in amperes (A)
  • [tex]Q[/tex] represents the charge in coulomb (C)
  • [tex]t[/tex] represents the time in seconds (s)

now substituting I = 0.9 and t = 50 in the formula

[tex]I=\frac{Q}{t}[/tex]

[tex]0.9\:=\:\frac{Q}{50}[/tex]

switch sides

[tex]\frac{Q}{50}=0.9[/tex]

Multiply both sides by 50

[tex]\frac{50Q}{50}=0.9\cdot \:50[/tex]

Simplify

[tex]Q=45[/tex] C

Therefore, we conclude that the quantity of  the charge that flows through the wire in 50 s will be 45 C.