The inner and outer surfaces of a cell membrane carry a negative and positive charge, respectively. Because of these charges, a potential difference of about 0.070 V exists across the membrane. The thickness of the membrane is 9.00*10-9 m. What is the magnitude of the electric field in the membrane?
E= difference potential in volts/distance in meters.
Ah, the thrilling world of cell membranes! Let's get electrified, shall we?
Using the formula you mentioned, E = potential difference / distance, we can calculate the magnitude of the electric field.
Given that the potential difference is 0.070 V and the distance is 9.00 * 10^-9 m, we plug in these values:
E = 0.070 V / 9.00 * 10^-9 m
Now let's crunch some numbers!
E = 7.77777778... V/m
But for the sake of simplicity, let's round it up to:
E ≈ 7.78 V/m
So, the magnitude of the electric field in the membrane is approximately 7.78 volts per meter. Time to charge forward with this electrifying knowledge!
To find the magnitude of the electric field in the membrane, we can use the formula:
Electric field (E) = Potential difference (V) / Distance (d)
Given:
Potential difference (V) = 0.070 V
Distance (d) = 9.00 * 10^(-9) m
Substituting these values into the formula, we can calculate the magnitude of the electric field:
E = 0.070 V / (9.00 * 10^(-9) m)
E = (0.070) / (9.00 * 10^(-9))
E ≈ 7.78 * 10^6 V/m
Therefore, the magnitude of the electric field in the membrane is approximately 7.78 * 10^6 V/m.
To calculate the magnitude of the electric field in the membrane, we can use the formula:
E = ΔV / d
Where:
E is the electric field (in volts per meter),
ΔV is the potential difference (in volts),
d is the distance or thickness of the membrane (in meters).
In this case, we are given:
ΔV = 0.070 V
d = 9.00 x 10^-9 m
Now, we can substitute these values into the formula:
E = 0.070 V / (9.00 x 10^-9 m)
To simplify the calculation, we can convert exponent notation to decimal notation:
E = 0.070 V / 0.000000009 m
Now, let's divide:
E = 7.78 x 10^6 V/m
Hence, the magnitude of the electric field in the membrane is 7.78 x 10^6 V/m.