The current through each resistor in the two-resistor circuit is the current through the resistor in the one-resistor circuit (the circuit in Part A). The voltage across each resistor in the two-resistor circuit is the voltage across the resistor in the one-resistor circuit. a. the same as / half
b. half / half
c. twice / half
d. half / twice
e. half / the same as
f. twice / twice

Option C is correct

Twice/half

Explanation:

Let assume the resistor have the same resistance. i.e R1=R2=R

The current in a two resistor series circuit is the same, series connection has same current.

Req for series connection is

Req=R1+R2=R+R=2R

Then using ohms law

V=IReq

I=V/Req

I=V/2R

If we reduce the current to one resistor and also let assume they have the same resistance, then the current will be double in this case.

Using ohms law

V=IR,

In this case it has one resistor and the Req is R

Then, I=V/R, which is twice of the first.

Since the same voltage is flow through the same circuit

Then for the two resistor circuit

V=IReq

Then, V=I×2R

V=2IR

Now, if we reduce resistor to 1,

Then the Req=R,

So using ohms law still

V=IReq

V=IR

We notice that the voltage is reduce to half of the initial.

So the answer is twice and half

Option C is correct

b. half / half

Explanation:

Lets understand this problem with a simple example, we will suppose a simple series circuit in this example.

Example:

Consider a simple circuit where a single resistor of value 1 Ω is connected with a voltage source of 10 V.

The current in the circuit is

I = V/R = 10/1 = 10 A

The voltage across resistor is

V = IR = 10*1 = 10 V

Now consider a circuit where two resistors of value 1 Ω each are connected in series with a voltage source of 10 V.

The current in the circuit is

I = V/R = 10/2 = 5 A

The voltage across each resistor is

V = IR = 5*1 = 5 V

Conclusion:

So the current in two-resistor circuit is 5 A as compared to the current in one-resistor circuit of 10 A which means that current is reduced to half.

The voltage across each resistor in the two-resistor circuit is 5 V as compared to the voltage across the one-resistor circuit of 10 V which means that the voltage is reduced to half.

So the correct option is b. half and half.

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

hope this