The electric field across a cellular membrane is 1.0x10^7 N/C directed into the cell. What is the magnitude of the electric forse on the sodium ion flowing into the cell? The charge on the sodium ion is +e.

q= elementary charge = e = 1.602x10^-19C

F=qE

F=(1.6x10^-19C)(1.0x10^7N/C)

F=1.6x10^-12 N

correct

To find the magnitude of the electric force on the sodium ion flowing into the cell, we can use the formula:

Electric Force = Electric Field × Charge

Given:
Electric Field (E) = 1.0x10^7 N/C (directed into the cell)
Charge (q) = +e (charge on the sodium ion)

Substituting these values into the formula, we have:

Electric Force = (1.0x10^7 N/C) × (+e)

However, we need to convert the charge from elementary charge units to coulombs. The elementary charge (e) is approximately 1.6x10^(-19) coulombs.

So, the magnitude of the electric force on the sodium ion flowing into the cell can be calculated as:

Electric Force = (1.0x10^7 N/C) × (1.6x10^(-19) C)

Multiplying these values together, we get:

Electric Force = 1.6x10^(-12) N

Therefore, the magnitude of the electric force on the sodium ion flowing into the cell is 1.6x10^(-12) Newtons.

To determine the magnitude of the electric force on the sodium ion flowing into the cell, you can use the equation F = qE, where F is the electric force, q is the charge, and E is the electric field.

In this case, the electric field across the cellular membrane is given as 1.0x10^7 N/C directed into the cell, and the charge on the sodium ion is +e.

To get the magnitude of the electric force, we need to multiply the charge on the sodium ion by the electric field strength.

Given:
Electric field, E = 1.0x10^7 N/C
Charge on the sodium ion, q = +e

Now, we can substitute these values into the equation:

F = qE

F = (+e) * (1.0x10^7 N/C)

The numeric value of the elementary charge, e, is approximately 1.6 x 10^-19 C.

F = (1.6 x 10^-19 C) * (1.0x10^7 N/C)

Now, we can calculate the magnitude of the electric force:

F = 1.6 x 10^-19 C * 1.0x10^7 N/C

F = 1.6 x 10^-12 N

Therefore, the magnitude of the electric force on the sodium ion flowing into the cell is approximately 1.6 x 10^-12 N.