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Rank in order, from largest to smallest, the currents Iato Idthrough the four resistors in FIGURE

Short Answer

Expert verified

The currents are ranked from largest to smallestIc>Ia=Id>Ib.

Step by step solution

01

Step 1. Given information

Voltage isVa=2.0

Resistance is Ra=2.0

Current Ia=?

Voltage Vb=1.0

Resistance Rb=2.0

Current ,Ib=?

Voltage Vc=2.0

Resistance Rc=1.0

CurrentIc=?

Voltage Vd=1.0

Resistance Rd=1.0

Current Id=?

02

Step 2. Find the currents are ranked from largest to smallest.

The following is the equation describing the relationship between current, applied voltage, and resistance:

VIV=IR

The current is I, the applied voltage is V, and the resistance is R.

The following is the current equation derived from the above equation:

I=VR

For resistor a,

The current flowing through resistor a is

Ia=2V2=1A

For resistor b:

The current flowing through resistor b is

Ib=1V2=0.5A

For resistor c:

The current flowing through resistor c is

Ic=2V1=2A

For resistor d:

The current flowing through resistor d is

Id=1V1=1A

From the above calculation the order of current from largest to smallest is Ic>Ia=Id>Ib

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