Researchers studying __________ observe behavioral changes in people with damage to specific brain areas.

Answer:

Part a: The current is 1.49x10⁻¹² A

Part b: The current is decreased by a factor of 4.

Explanation:

Part a

The area is given as

A =(1.4*10⁻⁶)² =1.96*10⁻¹² m²

The resistance is given as where resistivity of the membrane material is 1.30 x 10⁷ ohms*m

R=pL/A =(1.3*10⁷)(7.5*10⁻⁹)/(1.96*10⁻¹²)

R=4.97x10¹⁰ ohms

So the resistance is 4.97x10¹⁰ ohms.

I=V/R =86.0x10⁻³/5.77x10¹⁰

I=1.49x10^⁻¹² A

So the current is 1.49x10⁻¹² A

b)

S=So/2=1.4/2 =0.7μm

A=(0.7*10^-6)^2=4.9*10⁻¹³ m²

R=pL/A =(1.3*10⁷)(7.5*10⁻⁹)/(4.9*10⁻¹³)

R=1.98x10¹¹ ohms

So the resistance is 1.98x10¹¹ ohms.

I=V/R =86.0x10⁻³/1.98x10¹¹

I2=4.52x10^⁻¹³ A

So the ratio of the new current vs the old current is as

I2/I=4.52x10^⁻¹³/1.49x10⁻¹²=0.25

So the current is decreased by a factor of 4.

The magnetic force on the wire will be directed to the east.

The direction of the magnetic force on the long wire carrying a current toward the north in a magnetic field directed vertically downward would be to the east.

This is because of the right-hand rule, where if you point your right thumb in the direction of the current and your fingers in the direction of the magnetic field, the resulting force would be perpendicular to both, pointing to the east in this case.
When a long wire carries a current toward the north in a magnetic field that is directed vertically downward, you can determine the direction of the magnetic force on the wire using the right-hand rule.

Step 1: Point your right thumb in the direction of the current (north).
Step 2: Curl your fingers in the direction of the magnetic field (downward).
Step 3: The direction of the force on the wire will be the direction your palm is facing.

Following these steps, the magnetic force on the wire will be directed to the east.

To know more about current refer brainly.com/question/13055827

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